The largest area that can be enclosed is 2820312.5 square meters.
Let us take the length and width x and y respectively
So, according to the question
2(x+2y) = 9500
x+2y =4750
y = (4750-x)/2
What is the area of a rectangle?
The area of a rectangle with length l and width b is lb.
Area of the rectangular plot
A= xy
A(x) =x(4750-x)/2
A(x)= 2375x-x²/2
A'(x) =2375-x
To maximize area
A'(x) =0
2375-x=0
x =2375
y = (4750-2375)/2 = 1187.5
So, maximum area = xy = 2375*1187.5 = 2820312.5 square meter.
Therefore, the largest area that can be enclosed is 2820312.5 square meters.
To get more about rectangles visit:
https://brainly.com/question/25292087
