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

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 31E: Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are...
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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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