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.
