The perimeter of a rectangle is 60 inches. The area of the rectangle is 144 square inches. Find the dimensions of the rectangle.

Answer 1

2(L + W) = 60 ⇒

L = 30 - W

LW = 144

(30 - W)W = 144

W² - 30W + 144 = 0

(W - 24)(W - 6) = 0

W = 6 or 24

L = 30 - W = 24 or 6, respectively

One dimension is 6 in, the other is 24 in.