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You have 1200 feet of fencing material and you wish to construct a retangular dog kennel with 3 runways. What sholud the dinmensiopns of the rectangle be to have a rectangle of maximum area? 7. BARN

You have 1200 feet of fencing material and you wish to construct a retangular dog kennel with 3 runways. What sholud the dinmensiopns of the rectangle be to have a rectangle of maximum area? 7. BARN

Advanced Engineering Mathematics
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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**Problem Statement:** You have 1200 feet of fencing material and you wish to construct a rectangular dog kennel with 3 runways. What should the dimensions of the rectangle be to have a rectangle of maximum area? **Diagram Explanation:** The diagram below the problem statement illustrates the setup: - A long horizontal rectangle represents the "BARN." - Four vertical lines divide the rectangular area below the barn into three separate sections (referred to as the runways). The task is to determine the optimal dimensions of this rectangular area to maximize the total area covered by the runways, given the limited fencing material. Since the barn is one side of the rectangle, fencing will only be needed for three sides per runway (one long side and the partitioning).
Transcribed Image Text:**Problem Statement:** You have 1200 feet of fencing material and you wish to construct a rectangular dog kennel with 3 runways. What should the dimensions of the rectangle be to have a rectangle of maximum area? **Diagram Explanation:** The diagram below the problem statement illustrates the setup: - A long horizontal rectangle represents the "BARN." - Four vertical lines divide the rectangular area below the barn into three separate sections (referred to as the runways). The task is to determine the optimal dimensions of this rectangular area to maximize the total area covered by the runways, given the limited fencing material. Since the barn is one side of the rectangle, fencing will only be needed for three sides per runway (one long side and the partitioning).
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