Suppose that you need to build a rectangular enclosure from 500 feet of fence. Let the dimensions of the fence be calledl (for length) and w (for width). Also, supoose that you always use all 500 feet of available fence. If the width of the enclosure is w feet, what is its length in terms of w? l(w) %3D feet What is the area of the enclosure in terms of w? A(w) = %3D square feet What value of w will give the greatest area? w = feet What is the maximum rectangular area that can be enclosed by 500 feet of fence? square feet

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
Chapter4: Polynomials
Section4.9: Area Problems
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Suppose that you need to build a rectangular enclosure from 500 feet of fence. Let the dimensions of the
fence be called I (for length) and w (for width). Also, supoose that you always use all 500 feet of available
fence.
If the width of the enclosure is w feet, what is its length in terms of w? l(w)
feet
What is the area of the enclosure in terms of w? A(w):
square feet
What value of w will give the greatest area? w =
feet
What is the maximum rectangular area that can be enclosed by 500 feet of fence?
square feet
Transcribed Image Text:Suppose that you need to build a rectangular enclosure from 500 feet of fence. Let the dimensions of the fence be called I (for length) and w (for width). Also, supoose that you always use all 500 feet of available fence. If the width of the enclosure is w feet, what is its length in terms of w? l(w) feet What is the area of the enclosure in terms of w? A(w): square feet What value of w will give the greatest area? w = feet What is the maximum rectangular area that can be enclosed by 500 feet of fence? square feet
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