The largest area possible for the garden is 364.5 ft²
The width that will produce the maximum area is 13.5 ft
The length that will produce the maximum area is 27 ft
<h3>Area of a rectangle:</h3>
where
l = length
w = width
Only three sides need to be enclosed because one side is bordered by the parking lot. Therefore,
perimeter = l + 2w
54 = l + 2w
l = 54 - 2w
Therefore,
area = (54 - 2w)w
(54 - 2w)w = 0
w = 0 or 27
average = 27 /2 = 13.5
Hence, the max area is at w = 13.5 meters
Therefore,
l = 54 - 2(13.5) = 27 ft
length = 27 ft
width = 13.5 ft
Therefore,
area = 27 × 13.5 = 364.5 ft²
Therefore, the largest area possible for the garden is 364.5 ft²
learn more on rectangle here: brainly.com/question/11630499
