The length of the rectangle is 6 inches less than three times its width.The area of the rectangle is 105 in^2.What is the length of the rectangle?

Answer 1

Length L = 3w-6

Area = L * w

105 = (3w-6)w

3w^2 - 6w - 105 = 0

w^2 - 2w - 35 = 0

(w - 7)(w+2) = 0

w=-2 is disqualified

w=7

width is 7, length is 15