Answer:
The largest possible area of the garden is feet²
Step-by-step explanation:
Let the length of the rectangular vegetable garden = l
and width of the garden = w
Since length of the fence = 2w + l
[since there is a wall at one length of the fence so no fencing on that side]
2w + l = 3L
l = (3L - 2w)
Now area of the rectangular garden = Length × width
A = (3L - 2w)×w
A = 3Lw - 2w²
For the maximum area of the garden
3L - 4w = 0
4w = 3L
w =
Now we plug in the value of w to calculate the area of the garden.
A =
=
=
=
=
Therefore, the largest possible area of the garden is feet²