b) A farmer wishes to enclose a rectangular field. Three of sides will be visible from the street, so he will use a nice looking fence for those sides, costing $100 per foot. However, the north side is only visible to a farmer, so there he will use bushes costing $40 per foot. He wants to spend $8400 for the materials, what are the dimensions of the field that yield the largest area? Page

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.13: Using Factoring To Solve Problems
Problem 32P
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(b) A farmer wishes to enclose a rectangular field. Three of sides will be visible from the street, so he
will use a nice looking fence for those sides, costing $100 per foot. However, the north side is only
visible to a farmer, so there he will use bushes costing $40 per foot. He wants to spend $8400 for the
materials, what are the dimensions of the field that yield the largest area?
Page 1

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