Respuesta :

Answer:

L = 12

W = 8

Step-by-step explanation:

Area = L*W

L = W + 4

W = W

Area = 96

W ( W + 4) = 96

w^2 + 4W = 96

w^2  + 4w - 96 = 0

(w - 8)(w + 12) = 0

Only w - 8 = 0 will work

w - 8 = 0                       Add 8 to both sides

w = 8

w + 12 = 0 will not work because you have to subtract 12 from both sides to get the value for w.

w = - 12 which has no meaning for garden plots.

So the width = 8 and the length = w + 4 = 8 + 4 = 12