# The new library at Walnut Hills Middle School has a carpeted floor in the shape of a square. If the area of the floor is 52,000 square feet, what is the approximate length in feet of one side of the square floor?

May 20, 2018

The length in feet of one side is $228.035$.

#### Explanation:

The formula for the area of a square is the following:

$A = {\text{side length}}^{2}$

In this problem, we know the area and need to find the side length.

$52000 = {s}^{2}$

Now, we can take the square root of both sides to simplify the equation.

$228.035 = s$

Note that it also yields $- 228.035$, but this can be ignored because a side length cannot be negative.

Therefore, the length in feet of one side is $228.035$.