Model the problem with a quadratic equation. Let x be the length of a side of the square? Find the length of a side of a square with an area of 32 ft^2.

1 Answer
Jul 30, 2018

Length of each side is 4sqrt2ft

Explanation:

Let x be the length of a side of a square
Since all sides of a square are the same, then the area of the square is equal to x^2

We know that the area of the square is 32 so x^2=32

Solving:
x^2=32
x=+-sqrt32
x=+-sqrt(16times2)
x=+-4sqrt2

Now, since x is the length of a side, then x >0
therefore, x=4sqrt2ft only