1. A landowner wants to build a fence to enclose a rectangular lot. There will also be two other segments of fencing through the middle to divide the lot into 3 regions, as shown. The outside fencing costs $4.00 per foot and the fencing for segments through the middle costs $3.50 per foot. What is the largest rectangle, by total area, that can be built where the total cost is $2000?

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
Section8.2: Perimeter And Area Of Polygons
Problem 34E: The farmer in Exercise 33 has decided to take the fencing purchased and use it to enclose the...
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1. A landowner wants to build a fence to enclose a rectangular lot. There will also
be two other segments of fencing through the middle to divide the lot into 3
regions, as shown. The outside fencing costs $4.00 per foot and the fencing for
segments through the middle costs $3.50 per foot. What is the largest rectangle,
by total area, that can be built where the total cost is $2000?
Transcribed Image Text:1. A landowner wants to build a fence to enclose a rectangular lot. There will also be two other segments of fencing through the middle to divide the lot into 3 regions, as shown. The outside fencing costs $4.00 per foot and the fencing for segments through the middle costs $3.50 per foot. What is the largest rectangle, by total area, that can be built where the total cost is $2000?
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