A rancher has 152 ft of fencing to enclose a rectangular area that will be bonded on one side by her hay barn (no fence is needed along the barn). The enclosed area needs to be divided into 3 pens with fencing perpendicular to the barn. What is the largest area that can be enclosed? Use calculus methods and show all your work.

A rancher has 152 ft of fencing to enclose a rectangular area that will be bonded on one side by her hay barn (no fence is needed along the barn). The enclosed area needs to be divided into 3 pens with fencing perpendicular to the barn. What is the largest area that can be enclosed? Use calculus methods and show all your work.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids

Section: Chapter Questions

Problem 79A

See similar textbooks

Similar questions

The total amount of stock milled off an aluminum casting in two cuts is 8.58 millimeters.The roughing cut is 6.35 millimeters greater than the finish cut. What is the depth of the finish cut?
A cylindrical container has a volume of 84 cubic inches and a radius of 3 inches. Find the height of the container.
Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?
A beach tent is designed so that one side is open. Find the number of square feet of canvas needed to make the tent.
The gasoline tank on an automobile is box-shaped with dimensions of 24 in. by 20 in. by 9 in. If 1 ft3 corresponds to 7.5 gal of gasoline, What is the capacity of the automobiles fuel tank in gallons?