\[A=lw\]

## How to Find the Area of a Rectangle

- Identify the length and width of the rectangle.
- Plug the side length measurements into the Area of a Rectangle Formula and simplify. ba

## Examples

Find the area of the rectangle.

*What is the length and width of the rectangle?*

The length of the rectangle is \(\blue 5 \, in\).

The width of the rectangle is \(\blue 3 \, in\).

*What is the area of the rectangle?*

When I plug \(\blue 5 \, in\) and \(\blue 3 \, in\) into the Area of a Rectangle Formula I get…

\[A=({\blue 5 \, in})({\blue 3 \, in})\]

When I simplify that, I get…

\[A=\blue 15 \, in^2\]

The area of the rectangle is \(\blue 15 \, in^2\).

Find the area of the rectangle.

*What is the length and width of the rectangle?*

The length of the rectangle is \(\green \frac{4}{3} \, ft\).

The width of the rectangle is \(\green \frac{1}{2} \, ft\).

*What is the area of the rectangle?*

When I plug \(\green \frac{4}{3} \, ft\) and \(\green \frac{1}{2} \, ft\) into the Area of a Rectangle Formula I get…

\[A=({\green \frac{4}{3} \, ft})({\green \frac{1}{2} \, ft})\]

When I multiply the fractions, I get…

\[A=\green \frac{4}{6} \, ft^2\]

That fraction can be reduced to…

\[A=\green \frac{2}{3} \, ft^2\]

The area of the rectangle is \(\green \frac{2}{3} \, ft^2\).

Find the area of the rectangle.

*What is the length and width of the rectangle?*

The length of the rectangle is \(\yellow 31.2 \, cm\).

The width of the rectangle is \(\yellow 14.9 \, cm\).

*What is the area of the rectangle?*

When I plug \(\yellow 31.2 \, cm\) and \(\yellow 14.9 \, cm\) into the Area of a Rectangle Formula I get…

\[A=({\yellow 31.2 \, cm})({\yellow 14.9 \, cm})\]

When I multiply the decimals, I get…

\[A=\yellow 464.88 \, cm^2\]

The area of the rectangle is \(\yellow 464.88 \, cm^2\).

## Why It Works

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