Answer:
L≤30ft
Step-by-step explanation:
The area of the garden A = Length(L)*Width(W)
If Zack wants his rectangular garden to be 8 feet longer than it is wide, then
L = 8+W
Also, if he wants the area to be less than or equal to 660 ft², the A ≤ 660
LW≤660 ........1
(8+W)W ≤ 660
W²+8W-660≤0
W²+30W-22W-660≤0
W(W+30)-22(W+30)≤0
(W-22)(W+30)≤0
W-22≤0
W≤22 (neglecting the positive value)
Substituting W = 22 into equation 1
22L≤660
L≤660/22
L≤30
Hence the possible values for the length of his garden in feet are values less than and equal to 30 feet.
