\[A=lw\]
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.
