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?
The length in feet of one side is
The formula for the area of a square is the following:
In this problem, we know the area and need to find the side length.
Now, we can take the square root of both sides to simplify the equation.
Note that it also yields
Therefore, the length in feet of one side is