The area of a rectangular wall of a barn is 300 square feet. Its length is 10 feet longer than twice its width. Find the length and width of the wall of the barn.

Answer 1

A = LW

Given:

L = 2W + 10

So:

300 = (2W + 10)(W)

300 = 2W² + 10W

2W² + 10W - 300 = 0

W² + 5W - 150 = 0

(W + 15)(W - 10)=0

W + 15 = 0

W = -15 (This is impossible and cannot be the answer)

W - 10 = 0

W = 10 feet

Then:

L = 2(10) + 10

L = 30 feet