Answer:
L = 12
W = 8
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