A rancher plans to fence-in a rectangular corral adjacent to a river for a herd of cattle. The rancher has supplies for 1,260 meters of fence. Use calculus to determine the dimensions and area of the corral of maximum area, assuming all fencing supplies are used. x The length of the shorter side of the optimal corral is The length of the longer side of the optimal corral is The optimal corral has an area of x meters long. meters long. square meters.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 6PT: Solve the following application problem. A rectangular field is to be enclosed by fencing. In...
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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 1,260 meters of fence. Use calculus to determine the dimensions and area of the
corral of maximum area, assuming all fencing supplies are used.
X
Y
The length of the shorter side of the optimal corral is
The optimal corral has an area of
The length of the longer side of the optimal corral is
X
meters long.
meters long.
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 1,260 meters of fence. Use calculus to determine the dimensions and area of the corral of maximum area, assuming all fencing supplies are used. X Y The length of the shorter side of the optimal corral is The optimal corral has an area of The length of the longer side of the optimal corral is X meters long. meters long. square meters.
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