# 11. Consider the following problem: A farmer with 750 ft offencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of therectangle. What is the largest possible total area of thefour pens?(a) Draw several diagrams illustrating the situation, somewith shallow, wide pens and some with deep, narrowpens. Find the total areas of these configurations. Does itappear that there is a maximum area? If so, estimate it.(b) Draw a diagram illustrating the general situation.Introduce notation and label the diagram with yoursymbols.(c) Write an expression for the total area.(d) Use the given information to write an equation thatrelates the variables.(e) Use part (d) to write the total area as a function of onevariable.alaibod(f) Finish solving the problem and compare the answerwith your estimate in part (a).

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Asked Nov 8, 2019
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Can you show me all the steps to solve this problem?

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## Expert Answer

Step 1

Given that

Length of fencing is 750 ft

Step 2
Step 3

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