The width, labeled x in the figure, is (Type an integer or decimal.) feet The length, labeled 250 - 2x in the figure, is P (Type an integer or decimal.). feet The largest area that can be enclosed is (Type an integer or decimal.) square feet

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find
You have 250 feet of fencing
the length and width of the plot that will maximize the area. What is the largest area that can be enclosed?
River
The width, labeled x in the figure, is feet
(Type an integer or decimal.)
250-2x
The length, labeled 250 - 2x in the figure, is
feet.
(Type an integer or decimal.)
The largest area that can be enclosed is
(Type an integer or decimal.)
square feet.
Transcribed Image Text:enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find You have 250 feet of fencing the length and width of the plot that will maximize the area. What is the largest area that can be enclosed? River The width, labeled x in the figure, is feet (Type an integer or decimal.) 250-2x The length, labeled 250 - 2x in the figure, is feet. (Type an integer or decimal.) The largest area that can be enclosed is (Type an integer or decimal.) square feet.
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