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How to Find the Area of a Square (Mathematics Lesson)

How to Find the Area of a Square

The area of a square is found using the formula:



In this formula, a is the length of each side of the square. The image below shows we mean by the length of the side:

A Real Example of How to Find the Area of a Square

An Example Question

What is the area of a square with sides of length 6 cm, as shown below?

Step 1
Start with the formula:
Area = a2
Don't forget: a2 = a × a (a squared)

Step 2
Substitute the side length into the formula. In our example, a = 6.
Area = 62 = 6 × 6 = 36 cm2
The area of the square with sides of length 6 cm is 36 cm2.

Another Real Example of How to Find the Area of a Square

The slider below shows another real example of how to find the area of a square:
Curriculum
Geometry Lessons
Interactive Widget
Here is an interactive widget to help you learn about finding the area of a square.
Interactive Test
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Here's a second test on finding the area of a square.
Here's a third test on finding the area of a square.
Note

What Is a Square?

A square is a flat shape which with four equal straight sides and four right angles.

Square Numbers

A square number is a number multiplied by itself.

12 = 1 × 1 = 1
22 = 2 × 2 = 4
32 = 3 × 3 = 9

The squares go 1, 4, 9...

A square with side length 1 has an area of 1.



A square with side length 2 has an area of 4.



A square with side length 3 has an area of 9.



The areas go 1, 4, 9...

The square of a number and the area of a square with side lengths of that number are the same.