What are the dimensions of the rectangle?

Question

a rectangle whose area is 160 square meters is 12 meters longer than it is wide

Answer 1

Let w = the width

Let w + 12 = the length

A = lw

160 = w(w + 12)

160 = w² + 12w

w² + 12w - 160 = 0

(w + 20)(w - 8) = 0

w + 20 = 0    and    w - 8 = 0

w = -20, illogical answer   and w = 8 meters

w + 12 = 20 meters