# Calculus

posted by .

A rancher plans to make four identical and adjacent rectangular pens against a barn, each with an area of 100m^2. what are the dimensions of each pen that minimize the amount of fence that must be used?

## Similar Questions

1. ### Calculus

A rancher plans to make four identical and adjacent rectangular pens against a barn, each with an area of 100m^2. what are the dimensions of each pen that minimize the amount of fence that must be used?
2. ### Calculus Word Problem

A farmer wishes to build a fence for 6 adjacent rectangular pens. If there is 600 feet of fencing available, what are the dimensions of each pen that maximizes total pen area?

A farmer wishes to build a fence for 6 adjacent rectangular pens. If there is 600 feet of fencing available, what are the dimensions of each pen that maximizes total pen area?
4. ### Calculus

A rancher wants to make a rectangular pen to house her animals. She will divide it up with 3 fences down the middle parallel to one side. If she has 14000 ft of fencing to work with, what are the dimensions of the pen of greatest area?
5. ### calculus

A dog kennel with four pens is to be constructed. The pens will be surrounded by rectangular fence that costs \$23 per meter. The rectangle is partioned into four pens of equal size with three partitions made of fence that costs \$12 …
6. ### College Algebra

A rancher needs to build four identical pens for his animals as shown in the diagram below. He has 240 feet of fencing. He does not need to put the fence along the barn. Find the length and width that would maximize the area of the …
7. ### Math: pre calculus

a barn is 150 feet long and 75 feet wide. the owner has 240 ft of fencing and wants to construct two adjacent outdoor pens of identical size along the long side of the barn using the barn as one side of each pen. the owner wants the …
8. ### Algebra

You plan to build four identical rectangular sheep pens in a row. Each adjacent pair of pens share a fence between them. You have a total of 368 feet of fence to use. Find the dimension of each pen such that you can enclose the maximum …
9. ### Calculus

A dog kennel with four pens is to be constructed. The pens will be surrounded by rectangular fence that costs \$13 per meter. The rectangle is partioned into four pens of equal size with three partitions made of fence that costs \$5 …
10. ### math

a. A rectangular pen is built with one side against a barn. 1200 m of fencing are used for the other three sides of the pen. What dimensions maximize the area of theâ€‹ pen?

More Similar Questions