The length of a rectangle is 3 inches less than twice its width. The area is 1710 square inches. Find the length and the width of the rectangle. In quadratic formula

Answer 1

L= 2w -3

A= LW = (2w-3)w = 2w^2 -3w = 1710

2w^2 -3w -1710 = 0

w = 3/4 +/-(1/4)sqr(9+8(1710))

w = (3+/- 117)/4 = 120/4 = 30 inches wide

L = 2w-3 = 60-3 = 57 inches Long

57x30 = 1710 in^2 = Area