Question: A rectangular pen is built with one side against a barn. Two hundred meters of fencing three sides of the pen and a diagonal fence.

A rectangular pen is built with one side against a barn. Two hundred meters of fencing three sides of the pen and a diagonal fence. What dimensions maximize the area of the pen? Setup is a rectangular fence with one side being a barn

(

no fence used

),

and a diagonal fence running through the middle to make two pens.

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