# Area of a Square Calculator

Welcome to our Area of a Square Calculator page.

We explain how to find the area of a square and provide a quick calculator to work it out for you, step-by-step.

There is also a separate calculator which will find the length of the side of a square, if you already know the area.

### Area of a Square Calculator

Area of a Square Calculator

### Area of a Square Calculator 2

Area of a Square Calculator 2

### Area of a Square Examples

#### Area of a Square Example 1

Find the area of the square below.

The length of each side of the square is 13cm.

The area of a square, A = s2, where s is the length of each side.

So this means that A = 132 = 13 x 13 = 169

This means that the area of the square is 169 cm2.

#### Area of a Square Example 2

Find the area of the square below, giving your answer as a fraction.

The length of each side of the square is 3 ¼ inches.

The area of the square:

$A = (3 {1 \over 4}) ^2 = 3 {1 \over 4} \times 3 {1 \over 4} = {169 \over 16} = 10 {9 \over 16}$

This means that the area of the square is: $10 {9 \over 16} \; square \; inches$

#### Area of a Square Example 3

Find the area of the square below.

The length of each side of the square is 9.3 meters.

The area of the square, A = (9.3)2 = 9.3 x 9.3 = 86.49

This means that the area of the square is 86.49 m2.

#### Area of a Square Example 4

Use the area of the square below to find the length of each side correct to 1 decimal place.

The area of the square is 70 cm2.

The area of a square, A = s2, where s is the length of each side.

We can rearrange this equation in terms of the side length s to give us:

$s = \sqrt A$

Substituting the value of A into this equation gives us:

$s = \sqrt (70) = 8.3666....$

This means that the length of each side is 8.4 cm to 1 decimal place.

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