## Answer :

A= l x w

length is 6 ft longer than width, length = width + 6ft

Area = (w+6) x w

40 sq ft=w^2+ 6w

w^2 + 6w - 40 = 0

(w + 10) (w - 4) = 0

w = -10ft and/or 4ft

distance can't be negative, so 4ft is width, length is 10ft

l = w + 6

substitute (w + 6) in for l

40 = (w+6)*w

40 = w^2 + 6w

0 = w^2 + 6w - 40

0 = (w + 10) * (w - 4)

w + 10 = 0

w = -10

w - 4 = 0

**w = 4**

it does not make sense for the width to be negative, so 4 is the correct answer

now go back to one of the original equations, l = w + 6

l = w + 6

l = 4 + 6

**l = 10**