A dairy farmer has 1500 feet of fencing. He wants to use all 1500 feet to construct a rectangle and two interior separators that together form three rectangular pens. See the accompanying figure.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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d. What are the dimensions of the larger rectangle that give
29. A dairy farmer has 1500 feet of fencing. He wants to use
all 1500 feet to construct a rectangle and two interior
separators that together form three rectangular pens. See the
accompanying figure.
W
a. If W is the width of the larger rectangle, express the
length, L, of the larger rectangle in terms of W.
b. Express the total area, A(W), of the three pens as a
polynomial in terms of W.
c. What is the domain of the function A(W)?
d. What are the dimensions of the larger rectangle that g
a maximum area? What is the maximum area?
Transcribed Image Text:d. What are the dimensions of the larger rectangle that give 29. A dairy farmer has 1500 feet of fencing. He wants to use all 1500 feet to construct a rectangle and two interior separators that together form three rectangular pens. See the accompanying figure. W a. If W is the width of the larger rectangle, express the length, L, of the larger rectangle in terms of W. b. Express the total area, A(W), of the three pens as a polynomial in terms of W. c. What is the domain of the function A(W)? d. What are the dimensions of the larger rectangle that g a maximum area? What is the maximum area?
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