Consider the following problem: A farmer with 750 ft offencing wants to enclose a rectangular area and then divideit into four pens with fencing parallel to one side of therectangle. What is the largest possible total area of the fourpens?(a) Draw several diagrams illustrating the situation, somewith shallow, wide pens and some with deep, narrowpens. Find the total areas of these configurations. Doesit appear that there is a maximum area? If so, estimate it

Question

Consider the following problem: A farmer with 750 ft of
fencing wants to enclose a rectangular area and then divide
it into four pens with fencing parallel to one side of the
rectangle. What is the largest possible total area of the four
pens?
(a) Draw several diagrams illustrating the situation, some
with shallow, wide pens and some with deep, narrow
pens. Find the total areas of these configurations. Does
it appear that there is a maximum area? If so, estimate it

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