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A rancher has 400ft of fence for constructing a rectangular corral. One side of the corral will be formed by a barn and requires no

A rancher has 400ft of fence for constructing a rectangular corral. One side of the corral will be formed by a barn and requires no fence. Three exterior fences and two interior fences partition the corral into three rectangular regions. What are the dimensions of the corral that maximize the enclosed area? What is the area of that corral?

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