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Farmer Ed has 9,500 meters of fencing,
and wants to enclose a rectangular plot
that borders on a river. If Farmer Ed
does not fence the side along the river,
what is the largest area that can be
enclosed?
х
9,500 –2x
.....
The largest area that can be enclosed is
square meters.
>

Sagot :

ashishdwivedilVT

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

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