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# Area of a Square

(KS3, Year 7)

## The Lesson

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:

## How to Find the Area of a Square

Finding the area of a square is easy.## Question

What is the area of a square with sides of length 6 cm, as shown below?## Step-by-Step:

# 1

# 2

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

Area = 6

^{2}= 6 × 6 = 36 cm^{2}## Answer:

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

## "Find the Area" Widget

## 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.

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