# 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 = a

^{2}**Don't forget:**a

^{2}= a × a (a squared)

Step 2

Substitute the side length into the formula. In our example, a = 6.
Area = 6

The area of the square with sides of length 6 cm is 36 cm^{2}= 6 × 6 = 36 cm^{2}^{2}.

# 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

##### Interactive Test

**show**

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.1

^{2}= 1 × 1 = 1

2

^{2}= 2 × 2 = 4

3

^{2}= 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.