Question

The length of a rectangle is 8 inches more than twice its width. The area of the rectangle is 120 square inches. How many inches is the length of the rectangle?

Answer 1

L = 20 inches

Explanation:

w = width

L = length

area = 120

W x L = 120

L - 8 = 2W then L = 2W + 8

substitute for L:

W x (2W + 8) = 120

2W² + 8W -120 = 0

(2W - 12)(W + 10) = 0

2W-12 = 0

2W = 12

W = 6

L = 20