Question: a. A rectangular pen is built with one side against a barn. If500500m of fencing are used for the other three sides of the pen,

a. A rectangular pen is built with one side against a barn. If500500m 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 of400400msquared2.What are the dimensions of each pen that minimize the amount of fence that must be used?

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