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.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.1: Area And Initial Postulates
Problem 26E: The roof of the house shown needs to be reshingled. a Considering that the front and back sections...
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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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