# ###\$ Area of a Square

The Area of a Square Formula is a special case of the Area of a Rectangle Formula.

$A=s^2$

$A=(s)(s)$

## How to Find the Area of a Square

1. Identify the side length of the square.
2. Plug the side length measurement into the Area of a Square Formula and simplify.

## Examples

Find the area of the square.

What is the side length of the square?

The side length of the square is $$\purple 5\, in$$.

What is the area of the square?

When I plug $$\purple 5\, in$$ into the Area of a Square Formula, I get…

$A=({\purple 5\, in})^2$

When I simplify that, I get…

$A=25\, in^2$

The area of the square is $$\purple 25\, in^2$$.

Find the area of the square.

What is the side length of the square?

The side length of the square is $$\green 8\, cm$$.

What is the area of the square?

When I plug $$\green 8\, cm$$ into the Area of a Square Formula, I get…

$A=({\green 8\, cm})^2$

When I simplify that, I get…

$A=64\, cm^2$

The area of the square is $$\green 64\, cm^2$$.

Find the area of the square.

What is the side length of the square?

The side length of the square is $$\yellow 2\, ft$$.

What is the area of the square?

When I plug $$\yellow 2\, ft$$ into the Area of a Square Formula, I get…

$A=({\yellow 2\, ft})^2$

When I simplify that, I get…

$A=4\, ft^2$

The area of the square is $$\yellow 4\, ft^2$$.

## Why It Works

Click here to see why the Area of a Square Formula works.