A rancher plans to fence-in a rectangular corral adjacent to a river for a herd of cattle. The rancher has supplies for 1,000 meters of fence. Use algebra and the methods of this class to determine the dimensions and area of the corral of maximum area, assuming all fencing supplies are used. Do not use

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.9: Area Problems
Problem 2P
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A rancher plans to fence-in a rectangular corral adjacent to a
river for a herd of cattle. The rancher has supplies for 1,000
meters of fence. Use algebra and the methods of this class to
determine the dimensions and area of the corral of maximum
area, assuming all fencing supplies are used. Do not use
calculus.
The length of the shorter side of the optimal corral is
meters long.
The length of the longer side of the optimal corral is
meters long.
The optimal corral has an area of
square
meters.
Transcribed Image Text:A rancher plans to fence-in a rectangular corral adjacent to a river for a herd of cattle. The rancher has supplies for 1,000 meters of fence. Use algebra and the methods of this class to determine the dimensions and area of the corral of maximum area, assuming all fencing supplies are used. Do not use calculus. The length of the shorter side of the optimal corral is meters long. The length of the longer side of the optimal corral is meters long. The optimal corral has an area of square meters.
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