Say a farmer out in Corpus Christi wants to build two rectangular pens in this formation: If the length of the entire region is l and width of it is w, then the amount of fence it takes to build these pens is 2l+3w. Say that the farmer has 100 feet of fencing. What are the dimensions of length and width that maximize the combiịned area of the two pens? (Round your answers to four decimal places if necessary.) (a) l= 20, w = 20 (b) l = 25, w = 25 (c) l= 25, w = 16.6667 (d) l= 5, w = 30 (e) None of the above

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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The correct answer is C, but I don't understand how to do the work for this problem. Can you help me solve it? 

Say a farmer out in Corpus Christi wants to build two rectangular pens in this formation:
If the length of the entire region is l and width of it is w, then the amount of fence it takes to build these pens is 26+3w.
Say that the farmer has 100 feet of fencing. What are the dimensions of length and width that maximize the combined area
of the two pens? (Round your answers to four decimal places if necessary.)
(a) l= 20, w = 20
%3D
(b) l = 25, w = 25
%3D
(c) l= 25, w = 16.6667
%3D
(d) l=5, w = 30
(e) None of the above
Transcribed Image Text:Say a farmer out in Corpus Christi wants to build two rectangular pens in this formation: If the length of the entire region is l and width of it is w, then the amount of fence it takes to build these pens is 26+3w. Say that the farmer has 100 feet of fencing. What are the dimensions of length and width that maximize the combined area of the two pens? (Round your answers to four decimal places if necessary.) (a) l= 20, w = 20 %3D (b) l = 25, w = 25 %3D (c) l= 25, w = 16.6667 %3D (d) l=5, w = 30 (e) None of the above
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