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A farmer is to build a corral adjacent to an existing barn, with one side of the barn that is 20 feet long being used

A farmer is to build a corral adjacent to an existing barn, with one side of the barn that is 20 feet long being used as part of the corral. If the farmer has 120 feet of fencing available, find the maximum area of the corral they are able to build and the dimensions that result in this area. It will be helpful to first draw a picture.

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