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

- Identify the side length of the square.
- 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.