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A farmer has 1200 m of fencing and wishes to enclose a rectangular field. One Side of the field is against a country road that is already fenced, so the farmer needs to fence only the remaining three sides of the field. The farmer wants to enclose the maximum possible area and to use all the fencing. What dimensions will achieve this goal?

A farmer has 1200 m of fencing and wishes to enclose a rectangular field. One Side of the field is against a country road that is already fenced, so the farmer needs to fence only the remaining three sides of the field. The farmer wants to enclose the maximum possible area and to use all the fencing. What dimensions will achieve this goal?

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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2. A farmer has 1200 m of fencing and wishes to enclose a rectangular field. One Side of the field is against a country road that is already fenced, so the farmer needs to fence only the remaining three sides of the field. The farmer wants to enclose the maximum possible area and to use all the fencing. What dimensions will achieve this goal?
Transcribed Image Text:2. A farmer has 1200 m of fencing and wishes to enclose a rectangular field. One Side of the field is against a country road that is already fenced, so the farmer needs to fence only the remaining three sides of the field. The farmer wants to enclose the maximum possible area and to use all the fencing. What dimensions will achieve this goal?
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