8. A farmer has 2000 feet of fence. He plans to build a rectangular pen for his chickens adjacent to a straight river, so that only three sides of the rectangle will be fenced. Let 2 x be the length of a side of the rectangle that's parallel to the river. Give the area of the rectangle as a function of x. Use completing the square to determine the dimensions that will construct the rectangle with the largest area and what that area is.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 30P: In this problem you are asked to find a function that models in real life situation and then use the...
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8. A farmer has 2000 feet of fence. He plans to build
a rectangular pen for his chickens adjacent to a straight river,
so that only three sides of the rectangle will be fenced. Let
2 x be the length of a side of the rectangle that's
parallel to the river. Give the area of the rectangle as a function of x. Use completing the square to
determine the dimensions that will construct the rectangle with the largest area and what that area is.
2x
Transcribed Image Text:8. A farmer has 2000 feet of fence. He plans to build a rectangular pen for his chickens adjacent to a straight river, so that only three sides of the rectangle will be fenced. Let 2 x be the length of a side of the rectangle that's parallel to the river. Give the area of the rectangle as a function of x. Use completing the square to determine the dimensions that will construct the rectangle with the largest area and what that area is. 2x
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