a. A rectangular pen is built with one side against a barn. If 2400 m of fencing are used for the other three sides of the pen, what dimensions maximize the area of the pen? b. A rancher plans to make four identical and adjacent rectangular pens against a barn, each with an area of 225 m² (see figure). What are the dimensions of each pen that minimize the amount of fence that must be used? a. To maximize the area of the pen, the sides perpendicular to the bar should be 600 m long and the side parallel to the barn should be 1200 m long. (Type exact answers, using radicals as needed.). Han 225 224 225 225 b. To minimize the amount of fence that must be used, each of the sides perpendicular to the barn should be 13. m long and each of the sides parallel to the bam should be (Type exact answers, using radicals as needed.) long
a. A rectangular pen is built with one side against a barn. If 2400 m of fencing are used for the other three sides of the pen, what dimensions maximize the area of the pen? b. A rancher plans to make four identical and adjacent rectangular pens against a barn, each with an area of 225 m² (see figure). What are the dimensions of each pen that minimize the amount of fence that must be used? a. To maximize the area of the pen, the sides perpendicular to the bar should be 600 m long and the side parallel to the barn should be 1200 m long. (Type exact answers, using radicals as needed.). Han 225 224 225 225 b. To minimize the amount of fence that must be used, each of the sides perpendicular to the barn should be 13. m long and each of the sides parallel to the bam should be (Type exact answers, using radicals as needed.) long
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:a. A rectangular pen is built with one side against a barn. If 2400 m of fencing are used for the other three sides of the pen, what dimensions maximize the area of the pen?
b. A rancher plans to make four identical and adjacent rectangular pens against a barn, each with an area of 225 m² (see figure). What are the dimensions of
each pen that minimize the amount of fence that must be used?
a. To maximize the area of the pen, the sides perpendicular to the bar should be 600 m long and the side parallel to the barn should be 1200 m long.
(Type exact answers, using radicals as needed.).
223 224 225 225
b. To minimize the amount of fence that must be used, each of the sides perpendicular to the barn should be 13. m long and each of the sides parallel to the bam should be
(Type exact answers, using radicals as needed.)
long
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