A farmer has 500 feet of fencing and wants to build a pen that is rectangular in shape with three vertical subdivisions and one horizontal subdivision (see the diagram below). Note that his 500 feet of fencing must be used to make 8 lengths of fence (3 long, 5 short) as indicated by the black lines in the diagram. What are the outside dimensions of the pen that will give him the maximum area?

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 37CR: A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing...
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A farmer has 500 feet of fencing and wants to build a pen that is rectangular in shape with
three vertical subdivisions and one horizontal subdivision (see the diagram below). Note that
his 500 feet of fencing must be used to make 8 lengths of fence (3 long, 5 short) as indicated
by the black lines in the diagram. What are the outside dimensions of the pen that will give
him the maximum area?
Transcribed Image Text:A farmer has 500 feet of fencing and wants to build a pen that is rectangular in shape with three vertical subdivisions and one horizontal subdivision (see the diagram below). Note that his 500 feet of fencing must be used to make 8 lengths of fence (3 long, 5 short) as indicated by the black lines in the diagram. What are the outside dimensions of the pen that will give him the maximum area?
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