BrooBear
Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

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

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.