Geometry

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# Area of a Square

## Square Area Formula

**A = s ^{2}**

Where

*A*is the area and

*s*is the side length.

### Example Problems

**Problem 1:**

Find the area of a square with a side length of 10.

Solution:

1.) Plugging the side length into the formula, we get:

A = s^{2}

A = 10^{2} = 100

2.) **The area of the square is 100.**

**Problem 2:**

A square’s area is measured to be 81 square meters. What is its side length in meters?

Solution:

1.) Let’s plug the area into the formula first.

A = s^{2}

81 = s^{2}

2.) Now let’s solve for the side length *s*.

81 = s^{2}

s = 9

3.) **The side length is 9 meters.**