Farmer Ed has 900 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?

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 37CR: A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing...
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Farmer Ed has 900 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?
900 - 2x
.....
The width, labeled x in the figure, is
meters.
(Type an integer or decimal.)
The length, labeled 900 - 2x in the figure, is
(Type an integer or decimal.)
meters.
The largest area that can be enclosed is
square meters.
(Type an integer or decimal.)
Transcribed Image Text:Farmer Ed has 900 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? 900 - 2x ..... The width, labeled x in the figure, is meters. (Type an integer or decimal.) The length, labeled 900 - 2x in the figure, is (Type an integer or decimal.) meters. The largest area that can be enclosed is square meters. (Type an integer or decimal.)
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