Question

A farmer has 800 ft of fencing, and wants to fence off a rectangular field that...

A farmer has 800 ft of fencing, and wants to fence off a rectangular field that borders a river with a straight bank. She needs no fence along the river. What are the dimensions of the field of largest area?

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Let be the dimensions of the rectangular field witn bordering a river.

The length of fencing required is .

Area is . In a single variable,

When area is maximum,

So the dimesions of the field are along the river bank and .

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Farmer Ed has 7 000 meters of​ fencing, and wants to enclose a rectangular plot that...
Farmer Ed has 7 000 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?
(Optimization) A rectangular field is to be fenced off along a river where no fence is...
(Optimization) A rectangular field is to be fenced off along a river where no fence is needed on the side along the river. If the fence for the two ends costs $12/ft and the fence for the side parallel to the river is $18/ft. Determine the dimensions of the field that can be enclosed with the largest possible area. Total funds available for fencing: $5,400
A farmer wants to enclose a rectangular field by a fence and divide it into 2...
A farmer wants to enclose a rectangular field by a fence and divide it into 2 smaller but equal rectangular fields by constructing another fence parallel to one side. He has 6,000 yards of fencing.(a) draw picture (b) Find the dimensions of the field so that the total area is a maximum. (c)  Find the dimensions of the rectangular field the farmer can make the will contain the largest area.
A farmer wants to fence a rectangular area of 50 square miles that borders a straight...
A farmer wants to fence a rectangular area of 50 square miles that borders a straight river. He needs no fence along the river. What is the minimum perimeter needed to build this fence?
A farmer wants to fence in and area of 1.5 million square feet in a rectangular...
A farmer wants to fence in and area of 1.5 million square feet in a rectangular field. He then divides the area in half by putting another line of fencing parallel to one of the sides of the rectangle in the interior of the area. What is the dimensions of the rectanglular area that minimizes the amount of fencing used. Let x denote the length of fencing (in million of ft) along the direction where 3 pieces of fencing is...
A farmer wants to fence in a rectangular plot of land adjacent to his barn. No...
A farmer wants to fence in a rectangular plot of land adjacent to his barn. No fence is needed along the barn. If the fencing cost $20 per foot and he wants to enclose 800 square feet, then what dimensions will minimize cost?
A farmer plans to fence a rectangular pasture with two pens adjacent to a river. No...
A farmer plans to fence a rectangular pasture with two pens adjacent to a river. No fencing is needed along the river. Both pens have access to the river. If a total pasture of 19,200 sq ft is desired, what dimensions will require the least amount of fencing?
A farmer wants to fence in a rectangular plot of land adjacent to the north wall...
A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $24 per linear foot to install and the farmer is not willing to spend more than $6000, find the dimensions for the plot that...
A farmer wants to fence in a rectangular plot of land adjacent to the north wall...
A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $16 per linear foot to install and the farmer is not willing to spend more than $8000, find the dimensions for the plot that...
A rancher wants to fence off a rectangular corral with ah area of 2450 sq. yds...
A rancher wants to fence off a rectangular corral with ah area of 2450 sq. yds next to a river. No fencing is required along the river. Find the dimensions of the corral which will minimize the amount of fencing_required. Bonus: Justify your result using the 2nd Derivative Test
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT