You have decided to help your friend build pens for her farm animals. She has 8000 ft of fencing for the pens, and want to build four equally-sized pens with some shared sides (as shown in the diagram) as she needs to keep some of the animals separated. How should she build the pens to maximize the enclosed area? What is the maximum area?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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You have decided to help your friend build pens for her farm animals. She has 8000 ft of fencing for the pens, and
want to build four equally-sized pens with some shared sides (as shown in the diagram) as she needs to keep some
of the animals separated. How should she build the pens to maximize the enclosed area? What is the maximum
area? 

       

 

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