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?

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Answer 1 · 2018-05-20T22:48:04

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

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

#A="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#.