• Python program to find the area of square

In this  python tutorial,  you will learn about the Python program to find the area of square and, also we will check :

  • How to find the area of square in Python
  • Python program to find the area of square by getting input from a user
  • Python program to find the area of a square using function
  • How to find area and perimeter of a square in Python

Table of Contents

Let see python program to find the area of square

  • In this example, we will define the height of any one side of the square as “side” .
  • Now, calculate the area of the square by using the formula as Area = side*side
  • At last, print the area of the square to get the output.

You can refer to the below screenshot to see the output for the python program to find the area of a square.

Python program to find the area of square

The above code we can use to find the area of square in Python.

You may like, Python program to find an area of a rectangle and How to find area of a triangle in Python ?

Python program to find area of a square by getting input from a user

Here, we will see python program to find the area of the square by getting input from a user

  • Firstly, we will take input from the user for the side value of the square using the input() method.

You can refer to the below screenshot to see the output for the python program to find the area of the square by getting input from a user.

Python program to find the area of the square by getting input from a user

This is the Python program to find area of a square by getting input from a user.

Also read, How to calculate area of a circle in Python ?

Python program to find area of a square using function

Now, we will see python program to find the area of a square using function

  • Firstly, we will define a function with arguments using def keywords.
  • Now, we will calculate the area of a square inside the function by using the formula Area = side*side .
  • Here, the side=12 is defined and the value is passed to the function argument.
  • At last, print the area of a square to get the output.

You can refer to the below screenshot to see the output for the python program to find the area of a square using function.

Python program to find the area of a square using function

The above code is to find area of a square using function in Python .

Check out, How to calculate simple interest in Python ?

  • Python program to find area and perimeter of a square

Let’s see python program to find area and perimeter of a square .

  • Now, calculate the area of the square by using the formula Area = s*s .
  • Next, we will calculate the perimeter of a square by using the formula Perimeter=4*s
  • At last, print the area and perimeter of the square to get the output.

You can refer to the below screenshot to see the output for the python program to find area and perimeter of a square.

Python program to find area and perimeter of a square

The above code is to find area and perimeter of a square in Python .

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In this Python tutorial, we have learned about the Python program to find the area of square . Also, we covered these below topics:

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Python Program to calculate area of a square

In this tutorial, we will learn how to do a simple program of calculating the area of a square in python. The area is defined as the total space a shape occupies. It is measured in square units like cm², m², km² depending on the unit of the dimensions. The formula for calculating the area of a square is given as

The formula for Area of Square

Area of a square= Side x Side

Area= Side²

For example, following as input and give the output accordingly.

Output- 6.25

Here are two simple methods for calculating and printing the area of a square where the measurement of a side is given by the user.

  • Using multiplication operator (*)
  • Using pow() function

Approach 1: Using multiplication operator (*)

Given below is a simple program for calculating area using the multiplication operator (*). The input is taken as float and the area is calculated up to 4 decimal places. We will use the "%.4f" specifier for getting 4 digits after the decimal point. In "%.4f" the number after the dot is used to indicate the decimal places and f specifies float.

Step 1 - Take input of side from user

Step 2 - Calculate area

Step 3 - Print area using "%.4f"

Python Program

Look at the program to understand the implementation of the above-mentioned approach.

Enter side of square3.2 Area of square= 10.2400

Approach 2: Using pow() function

pow() is a predefined math function in python which returns the value of x to the power y. To know more about pow() and other built-in math functions. I advise you to read the article on Python math function .

Step 1 - Define a function area_square() to calculate area Take input of side from user

Step 2 - Call pow() and set parameters as n ,2 to calculate the area

Step 3 - Take input from the user

Step 4 - Call area_square() and pass input as a parameter

Step 5- Print the area

area of square assignment expert

Enter side of square2.4 Area of square= 5.7600

In this tutorial, we learned how to calculate the area of a square using 2 approaches. One, by using simple statements for multiplication and printing the output. Two, using a predefined math function called pow(). You can also define a function to calculate area by simply using the code from the first approach.

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Answer to Question #236438 in Python for vijay

ou are given a side of a square as input. Write a program to find the perimeter and area of the square.

The input is an integer representing the length of the side of the square.

The first line of the output should contain area of the square, and the second line of the output should contain the perimeter of the square as per the format shown in the sample output.

Explanation

Given the length of the side is 2.

As the area of square is side*side and the perimeter of the square is 4*side.

Then output should be

Sample Input 1

Sample Output 1

Sample Input 2

Sample Output 2

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Area of a Square Calculator

Formulas for the area of a square, what is the area of a square, how to use the area of a square calculator.

If you forgot how to find the area of a square, you're in the right place - this simple area of a square calculator is the answer to your problems. Whether you want to find the area knowing the square side or you need to calculate the side from a given area, this tool lends a helping hand. Read on and refresh your memory to find out what is the area of a square and to learn the formula behind the calculator. If you also need to calculate the diagonal of a square, check out this square calculator .

image of area of a square with side a

The area of a square is the product of the length of its sides:

where a a a is a square side.

Other formulas also exist. Depending on which parameter is given, you can use the following equations:

  • A = d 2 / 2 A = d^2 / 2 A = d 2 /2 if you know the diagonal ;
  • A = P 2 / 16 A= P^2 / 16 A = P 2 /16 if the perimeter is given (you can learn how to find P P P in every possible way with our perimeter of a square calculator );
  • A = 2 × R 2 A= 2 \times R^2 A = 2 × R 2 knowing circumradius R R R ; and
  • A = 4 × r 2 A= 4 \times r^2 A = 4 × r 2 in terms of the inradius r r r .

The area of a square is the number of square units needed to completely fill a square. To understand that definition, let's have a look at this picture of a chessboard:

Explanation of area of the square concept. Square units

The board has a squared shape, with its side divided into eight parts, in total, it consists of 64 small squares. Assume that one small square has a side length equal to 1   i n 1\ \mathrm{in} 1   in . The area of the square may be understood as the amount of paint necessary to cover the surface. So, from the formula for the area of a square, we know that A = a 2 = 1   i n 2 A= a^2 = 1\ \mathrm{in^2} A = a 2 = 1   i n 2 , and it's our unit of area in the chessboard case (amount of paint). The area of a 2 x 2 piece of the chessboard is then equal to 4 squares - so it's 4   i n 2 4\ \mathrm{in^2} 4   i n 2 , and we need to use 4 times more "paint". Full chessboard area equals 64   i n 2 64\ \mathrm{in^2} 64   i n 2 : 8   i n × 8   i n 8\ \mathrm{in} \times 8\ \mathrm{in} 8   in × 8   in from the formula, or it's just 64 small squares with 1   i n 2 1\ \mathrm{in^2} 1   i n 2 area - so we need 64 times more "paint" than for one single square.

You may also be interested in checking out the area of the largest square inscribed in a circumference with our square in a circle calculator !

Let's give the area of a square calculator a try!

  • Find out the given value . In our example, assume we know the side and want to calculate the area.
  • Type it into the proper box . Enter the value, e.g., 11 11 11 inches, into the side box.
  • The area appears! It's 121   i n 2 121\ \mathrm{in^2} 121   i n 2 . If you are interested in how many square feet it is, change the unit by clicking on the unit name.

How do I find the area of a square given perimeter?

If you know the perimeter of a square and want to determine its area, you need to:

  • Divide the perimeter by 4.
  • The result is the side of the square.
  • Multiply the side by itself.
  • The result is the area of your square.

How do I find the diagonal of a square given area?

To compute the length of a diagonal of a square given its area, follow these steps:

Multiply the area by 2 .

Take the square root of the result of step 1 .

That's it! The result is the diagonal of your square. Congrats!

The formula we used here is:

diagonal = √(2 × area)

What is the area of a square with diagonal 10?

The answer is 50 . This is because the formula linking the area of a square with its diagonal is:

area = diagonal² / 2

Hence, plugging in diagonal = 10 , we obtain:

area = 100 / 2 = 50

What is the area of a square with perimeter 52?

The answer is 169 . To arrive at this result, observe that the perimeter is equal to 52 . This means that the side of the square equals:

side = perimeter /4 = 52 / 4 = 13

Hence, the area is:

area = 13² = 169 .

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Area of Square in Python

Python program to get side of square and find area of square

Sample Input 1:

Sample Output 1:

Try your Solution

Strongly recommended to Solve it on your own, Don't directly go to the solution given below.

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A square is a flat shape, in one plane, defined by four points at the four corners. A square has four sides all of equal length, and four corners, all right angles (90 degree angles). A square is a kind of rectangle.   

area of square assignment expert

Examples :    

Area = side*side

Output :    

Time complexity : O(1)  Auxiliary Space : O(1)

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How to Find the Area of a Square

Last Updated: July 24, 2023 Fact Checked

This article was co-authored by David Jia . David Jia is an Academic Tutor and the Founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in various subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, and more. After attaining a perfect 800 math score and a 690 English score on the SAT, David was awarded the Dickinson Scholarship from the University of Miami, where he graduated with a Bachelor’s degree in Business Administration. Additionally, David has worked as an instructor for online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. This article has been viewed 277,398 times.

Finding the area of a square is easy as long as you know the length of its side, perimeter, or diagonal. Here's how to do it.

Using the Length of a Side

Step 1 Write it down.

  • Squaring the side of a square is the same thing as multiplying the square's height times its base.

Using a Known Diagonal

Step 1 Take the measurement of the length of the diagonal of the square.

Using a Known Perimeter

Step 1 Multiply the perimeter by 1/4 to find the length of a side.

Community Q&A

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Find the Area of a Quadrilateral

  • ↑ https://www.mathplanet.com/education/pre-algebra/inequalities-and-one-step-equations/calculating-the-area-and-the-perimeter
  • ↑ https://www.youtube.com/watch?v=OC2rMWzc-I8
  • ↑ https://sciencing.com/area-square-using-its-perimeter-7991359.html

About This Article

David Jia

To find the area of a square, use the formula a = side^2, where side is the length of one of the sides of the square. If you only know the perimeter of the square, you can find the area by dividing the perimeter by 4, which will give you the length of each side, and then plugging the side into the formula a = side^2. If you want to learn how to find the area of a square if you only know the length of a diagonal, keep reading! Did this summary help you? Yes No

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Area of a square

Here you will learn about finding the area of a square, including counting units squares and multiplying the side lengths.

Students will first learn about the area of a square as part of measurement and data in 3 rd grade.

What is the area of a square?

The area of a square is the amount of space inside the square. It is measured in square units.

For example,

Area of a Square image 1 US

The square units line up with all sides of the square and do not overlap. The area of the square is the number of square units within it.

Area of a Square image 2 US

Notice the connection between the side of a square and the square units:

Area of a Square image 3 US

The side length is always the same as the number of columns and rows of square units, since a square has equal sides.

This is why the area of square formula is \text {side} \times \text {side.}

Area of a Square image 4 US

Area is always labeled in square units. You can write it out or use the exponent 2 (a small 2 ) to show the units are square.

square centimeters (\mathrm{cm}^2), square meters (\mathrm{m}^2), square feet (\mathrm{ft}^2), square inches (\mathrm{in}^2).

The area of other polygons is also measured in square units.

Area of a Square image 5 US

The square units of the rectangle line up with the sides, just like they did for the square. There are 27 square units inside the rectangle, so that is the area.

Notice that this is not true for the other shapes. Some or all of their sides do not line up with the square units. Counting their square units is not as easy. This is why the area of a circle, triangle, hexagon and other shapes is covered in later grades.

What is the area of a square?

Common Core State Standards

How does this relate to 3 rd grade math?

  • Grade 3 – Measurement and Data (3.MD.C.5) Recognize area as an attribute of plane figures and understand concepts of area measurement. a. A square with side length 1 unit, called “a unit square,” is said to have “one square unit” of area, and can be used to measure area. b. A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units.
  • Grade 3 – Measurement and Data (3.MD.C.6) Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).
  • Grade 3 – Measurement and Data (3.MD.C.7a) Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.

How to find the area of a square

In order to find the area of a square by counting unit squares:

Be sure that the square is made of whole unit squares in an array .

Count the unit squares to find the area.

In order to calculate the area of a square:

Identify the side length of the square.

Write down the formula for the area of a square.

Substitute the given values and calculate.

Write down your final answer with units squared.

[FREE] Area Check for Understanding Quiz (Grade 4 to 6)

[FREE] Area Check for Understanding Quiz (Grade 4 to 6)

Use this quiz to check your grade 4 to 6 students’ understanding of area. 15+ questions with answers covering a range of 4th, 5th and 6th grade area topics to identify areas of strength and support!

Area of a square examples

Example 1: counting unit squares to find the area.

What is the area of the square?

Area of a Square image 6 US

The unit squares inside the square line up with the sides of the square.

2 Count the unit squares to find the area.

Area of a Square image 9 US

The area of the square is 9 square units.

Example 2: counting unit squares to find the area

Area of a Square image 10 US

The area of the square is 36 square units.

Example 3: counting unit squares (and multiplying the sides) to find the area

Area of a Square image 14 US

Since the length of its sides is 7, the unit squares form a 7 by 7 array.

To find the total number of unit squares (the area) multiply: \text {side} \times \text {side. }

\text { Area }=7 \times 7=49

You can prove this by counting the unit squares within.

Area of a Square image 16 US

The area of the square is 49 square units.

Example 4: counting unit squares (and multiplying the sides) to find the area

Area of a Square image 17 US

Since the length of each side is 5, the unit squares form a 5 by 5 array.

To find the total number of unit squares (the area) multiply: \text {side} \times \text {side.}

\text { Area }=5 \times 5=25

Area of a Square image 19 US

The area of the square is 25 square units.

Example 5: multiplying the sides to calculate the area

Area of a Square image 20 US

Since the length of the sides is the same, all sides are 8 \, cm.

Area of a Square image 21 US

\text { Area of a square }=\text { side } \times \text { side }

\text { Area of a square }=8 \times 8=64

The area of the square is 64 square centimeters.

Example 6: multiplying the sides to calculate the area

Area of a Square image 22 US

The wall above needs to be painted. How many square feet of paint is needed to cover the wall?

Since the length of a side is the same as the others, all sides are 4 \, ft.

Area of a Square image 23 US

\text { Area of a square }=4 \times 4=16

The wall needs 16 square feet of paint to cover it.

Teaching tips for area of a square

  • Make sure students have plenty of practice with tiling squares to find the area (via manipulatives or a digital resource that allows them to do this). These opportunities can provide the conceptual understanding necessary to use the area formula.
  • Worksheets can be a great source for practice, but be sure to use worksheets that provide a variety of practice (squares whose area can be found by using physical tiles and squares with or without grids).

Easy mistakes to make

Area of a Square image 24 US

  • Not using common units When tiling a shape to find the area, it is important that all the tiles are the same size. When solving area problems with real world measurements, it is important that all measurements are in the same unit. Having different size tiles or measurements will make the area calculation incorrect.

Related area of a quadrilateral lessons

  • Area of a rectangle
  • Area of a parallelogram
  • Area of a trapezoid
  • Area of a rhombus

Practice area of square questions

1. What is the area of the square?

Area of a Square image 25 US

4 square units

GCSE Quiz False

8 square units

12 square units

16 square units

GCSE Quiz True

The unit squares inside the square line up with the sides of the square and form an array.

Area of a Square image 26 US

The area of the square is 16 square units.

2. Which square has an area of 25 square units?

Area of a Square image 27 US

The area can also be found by multiplying \text {side} \times \text {side. } Since 5 \times 5=25, a square with the area of 25 square units will have side lengths of 5.

3. What is the area of the square?

Area of a Square image 32 US

6 square units

24 square units

30 square units

36 square units

Since the length of its sides is 6, the unit squares form a 6 by 6 array.

To find the total number of unit squares (the area) multiply: \text { side} \times \text {side.}

\text { Area }=6 \times 6=36

Area of a Square image 33 US

4. What is the area of the square?

Area of a Square image 34 US

77 square units

64 square units

32 square units

Since the length of its sides is 8, the unit squares form an 8 by 8 array.

\text { Area }=8 \times 8=64

Area of a Square image 35 US

The area of the square is 64 square units.

5. What is the area of the square?

Area of a Square image 36 US

81 square feet

9 square feet

18 square feet

36 square feet

\begin{aligned}\text { Area of a square } & =\text { side } \times \text { side } \\\\ & =9 \times 9 \\\\ & =81\end{aligned}

The area of the square is 81 square feet.

6. The area of a square is   4 square inches. What is the side length of the square?

\begin{aligned}\text { Area of a square } &=\text { side } \times \text { side } \\\\ 4 &=\text { side } \times \text { side }\end{aligned}

Think about a number times itself that equals 4…

Since 2 \times 2=4, the square has a side length of 2 inches.

Area of a square FAQs

To calculate the area of a square that has fractional side lengths, you still multiply \text {side} \times \text {side,} so you can either use a calculator or use what you know about multiplying fractions to solve.

Both the area and the perimeter are calculated using the side lengths, but they are not calculated in the same way. The formula for perimeter of a square is 4 \times \text {side length} and the formula for area is \text {side length} \times \text {side length.}

Surface area is the area of the faces of 3D figures. It is found by calculating the area of each side of a shape and then adding them all together. See also : Surface area

The next lessons are

  • Surface area
  • Pythagorean Theorem

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Area of a Square Calculator

Use this calculator to easily calculate the area of a square given the length of its side in any metric: mm, cm, meters, km, inches, feet, yards, miles...

    Calculation results

Related calculators.

  • Area of a square formula
  • How to calculate the area of a square?
  • Example: find the area of a square

    Area of a square formula

The formula for the area of a square is side 2 , as seen in the figure below:

area square

The solution to the equation is straightforward multiplication and this is the formula used in our area of a square online calculator. The result will be in whatever metric you did the measurement in, but squared: square mm, square cm, square dm, square meters or square inches, square feet, square yards, square miles etc.

    How to calculate the area of a square?

The area of a square is one of the easiest to calculate in that it requires just one measurement of the square to be known - its side. You then multiply it by itself to get to the area, so the formula used in this area of a square calculator is just as simple.

The simplicity of the square is why it is usually one of the first shapes that geometry students become familiar with. In real life measurements, like in construction, engineering, landscaping, etc. we rarely deal with square areas and surfaces - they are more often rectangular in shape. Still it is a good teaching device as it contains the rules for solving many other shapes.

This is because a square can be interpreted as a special case of a rhombus (equal sides and opposite equal angles), a kite (two pairs of adjacent equal angles), a trapezoid (one pair of opposite sides are parallel), a parallelogram (all opposite sides are parallel), and, of course, a rectangle, in which the opposite sides are equal in length and all of its angles are 90°. Therefore, a square combines the properties of all of these shapes: diagonals bisect at 90°, diagonals bisect the square angles, diagonals are equal, the sides are equal, opposite sides are equal, all angles are equal (90°). Learning to calculate the area of a square is thus a precursor for learning how to calculate the areas of more advanced shapes.

    Example: find the area of a square

The only measurement needed to find the area of a square figure is its side. Since all sides are equal it does not matter which side is measured. Then simply multiply the measurement by itself to get the area.

For example, if the side of a square pool is 10 yards, then the pool area is 10 x 10 = 100 square yards. If one side of a square room is 12 feet, then its area is 12 x 12 = 144 square feet.

Cite this calculator & page

If you'd like to cite this online calculator resource and information as provided on the page, you can use the following citation: Georgiev G.Z., "Area of a Square Calculator" , [online] Available at: https://www.gigacalculator.com/calculators/area-of-square-calculator.php URL [Accessed Date: 14 Mar, 2024].

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Unit 7: Area and perimeter

About this unit, count unit squares to find area.

  • Intro to area and unit squares (Opens a modal)
  • Measuring rectangles with different unit squares (Opens a modal)
  • Measuring area with partial unit squares (Opens a modal)
  • Creating rectangles with a given area 1 (Opens a modal)
  • Creating rectangles with a given area 2 (Opens a modal)
  • Find area by counting unit squares 7 questions Practice
  • Find area with partial unit squares 7 questions Practice
  • Create rectangles with a given area 4 questions Practice

Area of rectangles

  • Transitioning from unit squares to area formula (Opens a modal)
  • Finding missing side when given area (Opens a modal)
  • Counting unit squares to find area formula (Opens a modal)
  • Area of rectangles review (Opens a modal)
  • Transition from unit squares to area formula 7 questions Practice
  • Find a missing side length when given area 7 questions Practice
  • Perimeter: introduction (Opens a modal)
  • Perimeter of a shape (Opens a modal)
  • Find perimeter by counting unit squares (Opens a modal)
  • Finding perimeter when a side length is missing (Opens a modal)
  • Finding missing side length when given perimeter (Opens a modal)
  • Perimeter & area (Opens a modal)
  • Perimeter and unit conversion (Opens a modal)
  • Applying the metric system to perimeter (Opens a modal)
  • Perimeter review (Opens a modal)
  • Find perimeter by counting units 4 questions Practice
  • Find perimeter when given side lengths 7 questions Practice
  • Find a missing side length when given perimeter 4 questions Practice

Area of parallelograms

  • Area of a parallelogram (Opens a modal)
  • Area of parallelograms (Opens a modal)
  • Area of parallelograms 4 questions Practice
  • Find missing length when given area of a parallelogram 4 questions Practice

Area of triangles

  • Area of a triangle (Opens a modal)
  • Area of triangles (Opens a modal)
  • Area of triangle proof (Opens a modal)
  • Find base and height on a triangle 4 questions Practice
  • Area of right triangles 4 questions Practice
  • Area of triangles 7 questions Practice
  • Find missing length when given area of a triangle 4 questions Practice

Area of shapes on grids

  • Area of a triangle on a grid (Opens a modal)
  • Area of a quadrilateral on a grid (Opens a modal)
  • Areas of shapes on grids 4 questions Practice

Area of trapezoids & composite figures

  • Area of trapezoids (Opens a modal)
  • Area of kites (Opens a modal)
  • Finding area by rearranging parts (Opens a modal)
  • Area of composite shapes (Opens a modal)
  • Perimeter & area of composite shapes (Opens a modal)
  • Challenge problems: perimeter & area (Opens a modal)
  • Area of trapezoids 4 questions Practice
  • Area of composite shapes 4 questions Practice
  • Area challenge 4 questions Practice

Area and circumference of circles

  • Radius, diameter, circumference & π (Opens a modal)
  • Labeling parts of a circle (Opens a modal)
  • Radius, diameter, & circumference (Opens a modal)
  • Circumference review (Opens a modal)
  • Radius & diameter from circumference (Opens a modal)
  • Area of a circle (Opens a modal)
  • Area of circles review (Opens a modal)
  • Area of a circle intuition (Opens a modal)
  • Radius and diameter 7 questions Practice
  • Circumference of a circle 4 questions Practice
  • Area of a circle 7 questions Practice
  • Area of parts of circles 4 questions Practice

Advanced area with triangles

  • Area of equilateral triangle (Opens a modal)
  • Area of equilateral triangle (advanced) (Opens a modal)
  • Area of diagonal-generated triangles (Opens a modal)
  • Math Article
  • Area Of Square

Area of a Square

Area of a square is defined as the number of square units needed to fill a square. In general, the area is defined as the region occupied inside the boundary of a flat object or 2d figure . The measurement is done in square units, with the standard unit being square metres (m 2 ).

For the computation of area, there are pre-defined formulas for squares, rectangles, circles, triangles, etc. In this article, you will learn about the area of a square.

What is Area?

The area is the space covered by the object. It is the region occupied by any shape. While measuring the area of a square, we consider only the length of its side. All sides of a square are equal; hence, its area is equal to the square of the side.

Similarly, we can find the area of the other shapes such as rectangles, parallelograms, triangles or any polygon, based on its sides. The area of the surface is calculated based on the radius or the distance of its outer line from the axis for curved surface objects. Example: circle

Learn more: What is mathematics?

Area of a Square Formula

Before moving into the area of square formula used for calculating the region occupied, let us try using graph paper. You are required to find the area of a side 5 cm. Using this dimension, draw a square on a graph paper having 1 cm × 1 cm squares. The square covers 25 complete squares.

Area Of A Square

Thus, the area of the square is 25 square cm, which can be written as 5 cm × 5 cm, that is, side ×  side.

From the above discussion, it can be inferred that the formula can give the area of a square is:

Area of a Square = Side × Side

Therefore, the area of square = Side 2   square units

and the perimeter of a square = 4 ×  side units

Here some of the unit conversion lists are provided for reference. Some conversions of units :

  • 1 m = 100 cm
  • 1 sq. m = 10,000 sq. cm
  • 1 km = 1000 m
  • 1 sq. km = 1,000,000 sq. m

Area of a Square Sample Problems

Find the area of a square clipboard whose side measures 120 cm.

Side of the clipboard = 120 cm = 1.2 m

Area of the clipboard = side  × side

= 120 cm × 120 cm

= 14400 sq. cm

= 1.44 sq. m

The side of a square wall is 75 m. What is the cost of painting it at the rate of Rs. 3 per sq. m?

Side of the wall = 75 m

Area of the wall = side × side = 75 m × 75 m = 5,625 sq. m

For 1 sq. m, the cost of painting = Rs. 3

Thus, for 5,625 sq. m, the cost of painting = Rs. 3 × 5,625 = Rs 16,875

Example 3 :

A courtyard’s floor which is 50 m long and 40 m wide is to be covered by square tiles. The side of each tile is 2 m. Find the number of tiles required to cover the floor.

Length of the floor = 50 m

The breadth of the floor = 40 m

Area of the floor = length × breadth = 50 m × 40 m = 2000 sq. m

Side of one tile = 2 m

Area of one tile = side ×side = 2 m × 2 m = 4 sq. m

No. of tiles required = area of floor/area of a tile = 2000/4 = 500 tiles.

Practice Problems

  • A square wall of length 25 metres, has to be painted. If the cost of painting per square metre is ₹ 4.50. Find the cost of painting the whole wall.
  • Find the length of a square park whose area is 3600 square metres.
  • Find the area of the square whose length of the diagonal is 5√2 cm.

To learn and practice more problems related to the area of a square, download BYJU’S-The Learning App.

Frequently Asked Questions on Area of Square

What is the area of a square.

As we know, a square is a two-dimensional figure with four sides. It is also known as a quadrilateral. The area of a square is defined as the total number of unit squares in the shape of a square. In other words, it is defined as the space occupied by the square.

Why is the area of a square a side square?

A square is a 2D figure in which all the sides are of equal measure. Since all the sides are equal, the area would be length times width, which is equal to side × side. Hence, the area of a square is side square.

What is the area of a square formula?

The area of a square can be calculated using the formula side × side square units.

How to find the area of a square if a diagonal is given?

If the diagonal of a square is given, then the formula to calculate the area of a square is: A = (½) × d 2 square units. Where “d” is the diagonal

What is the perimeter and the area of a square?

The perimeter of the square is the sum of all the four sides of a square, whereas the area of a square is defined as the region or the space occupied by a square in the two-dimensional space.

What is the area of a square if its side length is 10 cm?

Given: Side = 10 cm We know that, Area of a square = Side × Side square units Thus, Area = 10 × 10 = 100 cm 2 Therefore, the area of a square is 100 cm 2 if its side length is 10 cm.

What is the unit for an area of square?

The area of a square is measured in square units.

How to calculate the area of a square if its perimeter is given?

Follow the below steps to find the area of a square if its perimeter is given: Step 1: Find the side length of a square using the perimeter formula, P = 4 × Side Step 2: Substitute the side length in the area formula: A = Side × Side.

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Length × width

Find the length of a side of square cardboard whose perimeter is hundred CM and find the area

Perimeter of square = 100 cm 4 x side = 100 Length of side = 100/4 = 25 cm Now, area of square = side^2 = 25^2 = 625 sq.cm.

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Area of a Square

A square is a regular polygon with four sides. It has four right angles and parallel sides. To calculate the area of a square, multiply the base by itself, which can be expressed as side × side. If a square has a base of length 8 inches its area will be 8 × 8 = 64 square inches.

Area of a square is given by: A = a 2

where a = length of side.

In strictly correct mathematical wording the formula above should be spoken as “s raised to the power of 2”, meaning s is multiplied by itself. But we usually say it as “s squared”. This wording actually comes from the square. The length of a line s multiplied by itself, creates the square of side s. Hence “s squared”.

Calculating the Area of a Square

  • The area of a square can be found by multiplying the base times itself. This is similar to the area of a rectangle but the base is the same length as the height.
  • If a square has a base of length 6 inches its area is 6*6=36 square inches.

Example: Calculate the area of square, where the square has 35cm side’s length.

Area of square is defined by a × a.

Area = 35 × 35

Area = 1225 cm.

Information source:

  • www.web-formulas.com
  • www.aaamath.com

Four Basic Operations of Mathematics

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Area of square

18 Answered Questions for the topic Area Of Square

Applications and modeling with quadratice equations

area of square assignment expert

One square has a perimeter of 40 in. A second square has a perimeter of 36 in. What is the posistive difference in the aras of the 2 squares?

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the area of a square with all four sides measuring 6 1/2

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Is there any logical proof or derivativation for area of a square

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$15 per meter 81m2

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Andre is building a frame in the shape of a square. The area of the frame is 52 square inches. Find the estimate of the side of the frame to the nearest inch

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100,000 people each get 1,000,000 squared area. What total area do I need to provide?

Find the area of a square when you know the perimeter, the pierces are going to put new fence around their square shaped yard. the area of the yard is 1024 square feet, find both the length and width of a rectangle using the following conditions..

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One fourth of the tiles are brown and the remaining three fourths are beige.

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hard area question

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What are the dimensions of the original figure?

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A tennis court is 33 feet wide. It's length is 5 feet more than twice its width. What is the area in square feet of a tennis court?

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prove that a square ABCD is half the area of a square ACEF, when the segment AB is half of the segment AE

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    Question #313099. X's and O's, find the largest square containing only X's and return its area. If there are no Xs in the entire matrix print 0.Input. The first line of input will be containing two space-separated integers, denoting M and N. The next M lines will contain N space-separated integers, denoting the elements of the matrix.

  2. Python Program To Find The Area Of Square

    Let's see python program to find area and perimeter of a square. Firstly, we will take input from the user for the side value of the square using the input () method. Now, calculate the area of the square by using the formula Area = s*s. Next, we will calculate the perimeter of a square by using the formula Perimeter=4*s.

  3. Answer in Python for sudheer #210070

    Answer to Question #210070 in Python for sudheer. X's and O's, find the largest square containing only X's and return its area. If there are no Xs in the entire matrix print 0.Input. The first line of input will be containing two space-separated integers, denoting M and N. The next M lines will contain N space-separated integers, denoting the ...

  4. Python Program to calculate area of a square

    Algorithm. Step 1 - Define a function area_square () to calculate area Take input of side from user. Step 2 - Call pow () and set parameters as n ,2 to calculate the area. Step 3 - Take input from the user. Step 4 - Call area_square () and pass input as a parameter. Step 5- Print the area.

  5. Answer in Python for vijay #236438

    Question #236438. ou are given a side of a square as input. Write a program to find the perimeter and area of the square. The input is an integer representing the length of the side of the square. The first line of the output should contain area of the square, and the second line of the output should contain the perimeter of the square as per ...

  6. Area of a Square. Calculator

    The area of a square is the product of the length of its sides: A = a\times a = a^2 A = a × a = a2. where a a is a square side. Other formulas also exist. Depending on which parameter is given, you can use the following equations: A = d 2 / 2. A = d^2 / 2 A = d2/2 if you know the diagonal; A = P 2 / 16.

  7. Area of Square Formula

    To find the area of a square when the side [latex]s [/latex] is given, simply multiply the side by itself [latex]s \times s [/latex] or square it [latex]s^2 [/latex]. Example 3: Find the area of a square whose side length is [latex]7 [/latex] [latex]ft [/latex]. A square is a specific case of a rectangle in which the length [latex]l [/latex ...

  8. Area of Square in Python

    Python program to get side of square and find area of square Sample Input 1: 4. Sample Output 1: 16 Try your Solution. Strongly recommended to Solve it on your own, Don't directly go to the solution given below.

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    Program for Area Of Square after N-th fold. Program for Area Of Square. Find the area of the shaded region formed by the intersection of four semicircles in a square. Find number of square of area Z which can be built in a matrix having blocked regions. Find side of Square which makes minimal area to fit two identical rectangles inside it.

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  11. 3 Ways to Find the Area of a Square

    But since all squares have equal length sides, you can just multiply the distance by itself. If the length of a side of a square is 3 centimeter (1.2 in), then you just have to square 3 centimeter (1.2 in) to find the area of a square. 3 centimeter (1.2 in) x 3 centimeter (1.2 in) = 9 cm 2.

  12. Area of a Square

    Write down the formula for the area of a square. Show step. Since the length of each side is 5, 5, the unit squares form a 5 5 by 5 5 array. To find the total number of unit squares (the area) multiply: \text {side} \times \text {side.} side × side.

  13. Area of a Square Calculator

    Area of a square formula. The formula for the area of a square is side2, as seen in the figure below: The solution to the equation is straightforward multiplication and this is the formula used in our area of a square online calculator. The result will be in whatever metric you did the measurement in, but squared: square mm, square cm, square ...

  14. Area and perimeter

    Unit test. Test your understanding of Area and perimeter with these % (num)s questions. Area and perimeter help us measure the size of 2D shapes. We'll start with the area and perimeter of rectangles. From there, we'll tackle trickier shapes, such as triangles and circles.

  15. Area of Square

    Area of Square | MATRIX ASSIGNMENT | Python | CCBP 4.0 #pythonprogramming #python #ccbp #nxtwave #foundation #foundationexams #programming #code #practice #c...

  16. Given an MXN Matrix get Area of Square

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  17. Area of a Square

    Follow the below steps to find the area of a square if its perimeter is given: Step 1: Find the side length of a square using the perimeter formula, P = 4 × Side. Step 2: Substitute the side length in the area formula: A = Side × Side. Quiz on Area of Square.

  18. Area of a Square

    To calculate the area of a square, multiply the base by itself, which can be expressed as side × side. If a square has a base of length 8 inches its area will be 8 × 8 = 64 square inches. Area of a square is given by: A = a 2. where a = length of side. In strictly correct mathematical wording the formula above should be spoken as "s raised ...

  19. What is Evidence-Based Practice in Nursing?

    Level C typically gets implemented when there is limited information about a condition and acquires evidence from a consensus viewpoint or expert opinion. Level ML (multi-level) is usually applied to complex cases and gets its evidence from more than one of the other levels. Why Is Evidence-Based Practice in Nursing Essential?

  20. Newest Area Of Square Questions

    The basement room is square and measures 10 feet x 10 feet. She wants to use 4 inch x 4 inch tiles for the floor. One fourth of the tiles are brown and the remaining three fourths are beige.