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?

Question

asked Jul 8, 2022 158k views

1 Answer

Lavenda · Answer 1 · 2022-07-12T10:29:45+0000

Answer:

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