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Farmer Ed has 750 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed?

Farmer Ed has 750 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed?

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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Farmer Ed has 750 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed? 750 -2x The width, labeled x in the figure, is meters. (Type an integer or decimal.) The length, labeled 750 – 2x in the figure, is meters. (Type an integer or decimal.) The largest area that can be enclosed is square meters (Type an integer or decimal.)
Transcribed Image Text:Farmer Ed has 750 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed? 750 -2x The width, labeled x in the figure, is meters. (Type an integer or decimal.) The length, labeled 750 – 2x in the figure, is meters. (Type an integer or decimal.) The largest area that can be enclosed is square meters (Type an integer or decimal.)
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