Question: a. A rectangular pen is built with one side against a barn. Two hundred meters of fencing are used for the other three sides of

a. A rectangular pen is built with one side against a barn. Two hundred meters of fencing are used for the other three sides of the pen. What dimensions maximize the area of the pen?

b. A rancher plans to make four identical and adjacent rectangular pens against a barn, each with an area of 100 m² (see figure). What are the dimensions of each pen that minimize the amount of fence that must be used?

Barn 100 100 100 100

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a Let x and y be the lengths of the sides of the pen with y the side parallel to the barn Then the c... View full answer

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