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
Lucy
Jul 30, 2018

Length of each side is #4sqrt2#ft

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=4sqrt2#ft only

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