The length of a rectangle is 4 yd longer than the width. The area is 70 yd'. Find length and width.

Answer 1

L= 4+ W

Area = A = LW = (4+W)W = 4W+W^2 = 70

W^2+4W -70 = 0

either factor, complete the square or use the quadratic formula

W^2 + 4W + 4 = 70 + 4

(W+2)^2 = 74

W+2 = sqr74

W = sqr74-2 = 8.6 - 2 = 6.6 yards

L=W+4 = sqr74 -2 + 4 = sqr74+2 = 10.6 yards