Question

The length of a rectangle is 8 more than the width. The area is 660 square yards. Find the length and width of the rectangle.

Answer 1

A (area) = L (length) x W (width).

L = W + 8, therefore A = (W + 8) x W

660 = W2 + 8W

W2 + 8W - 660 = 0

Factor to get (W + 30) x (W - 22) = 0

Possible solutions are W = -30 and W = 22.

W can't be < 0 so the only solution for W = 22 yd.

L = W + 8 = 30 yd.

22 x 30 = 660 yd2