A rancher removed 200 feet of wire fencing from a field on his ranch. He wants to reuse the fencing to create a rectangular corral into which he will build a 6-foot-wide wooden gate. The dimensions of the corral with the greatest possible area are found using the multivariable functions for the amount of fencing and for the resulting area of the corral: feet is the amount of fencing needed for the specified rectangular corral of width w feet and length l feet. The area of the specified corral is where w feet is the width and l feet is the length. Write the multivariable function to be maximized.

Question

A rancher removed 200 feet of wire fencing from a field on his ranch. He wants to reuse the fencing to create a rectangular corral into which he will build a 6-foot-wide wooden gate. The dimensions of the corral with the greatest possible area are found using the multivariable functions for the amount of fencing and for the resulting area of the corral: feet is the amount of fencing needed for the specified rectangular corral of width w feet and length l feet. The area of the specified corral is  where w feet is the width and l feet is the length. Write the multivariable function to be maximized.

Quizplus · Accepted Answer

The Answer of A rancher removed 200 feet of wire fencing from a field on his ranch. He wants to reuse the fencing to create a rectangular corral into which he will build a 6-foot-wide wooden gate. The dimensions of the corral with the greatest possible area are found using the multivariable functions for the amount of fencing and for the resulting area of the corral: feet is the amount of fencing needed for the specified rectangular corral of width w feet and length l feet. The area of the specified corral is  where w feet is the width and l feet is the length. Write the multivariable function to be maximized.

A Rancher Removed 200 Feet of Wire Fencing from a Field