Math
posted by LP .
A Quadratic Word Problem
If one side of a square is increased by 2 inches and an adjacent side is decreased by 2 inches, the area of the resulting rectangle is 32 square inches. Find the length of one side of the square.

a = length of one side of the square
W = Rectangle width
H = Rectangle height
A = Rectangle area
W = a + 2
H = a  2
A = W * H
A = ( a + 2 ) * ( a  2 ) = 32
32 = a ^ 2 + 2 a  2 a  4
32 = a ^  4 Add 4 to both sides
32 + 4 = a ^  4 + 4
36 = a ^ 2
a = sqrt ( 36 ) = 6
The length of one side of the square = 6 in 
6 inch