A farmer plans to build a rectangular pen adjacent to a river out of the 2,400 ft of fencing he has in storage. This means he only needs to enclose three sides of the region (see picture below). y X A x (A) Find Area of the enclosed region as a function of the width of the region, x. (Submit your answer in factored form) A (x) = (B) What is the maximum area the farmer can enclose? Number ft² (C) What dimension should be used to create the pen of maximum area? = Number ft ft y = Number

College Algebra
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Author:Ron Larson
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Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
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A farmer plans to build a rectangular pen adjacent to a river out of the 2,400 ft of fencing he has in storage. This means he only needs to enclose three sides
of the region (see picture below).
y
4
X
A
(A) Find Area of the enclosed region as a function of the width of the region, x.
(Submit your answer in factored form)
A (x) =
(B) What is the maximum area the farmer can enclose?
Number
ft²
(C) What dimension should be used to create the pen of maximum area?
x = Number
ft
ft
y = Number
X
Transcribed Image Text:A farmer plans to build a rectangular pen adjacent to a river out of the 2,400 ft of fencing he has in storage. This means he only needs to enclose three sides of the region (see picture below). y 4 X A (A) Find Area of the enclosed region as a function of the width of the region, x. (Submit your answer in factored form) A (x) = (B) What is the maximum area the farmer can enclose? Number ft² (C) What dimension should be used to create the pen of maximum area? x = Number ft ft y = Number X
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