The length of a rectangle is 3 inches longer then twice its width, where w is the width of the rectangle the area of the rectangle is 90 square inches. Write an equation that represents the area and find the width and length of the rectangle.

A = w(2w + 3)
90 = 2w^2 + 3w
2w^2 +3w - 90 = 0
(w-6)(2w+15) = 0        (TRINOMIAL FACTORING)
w = 6 inch                   ( it can't be -15/2 because lengths can't be negative)
l = 2w + 3
  = 15 inch