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From a tract of land, a developer plans to fence a rectangular region and then divide it into two identical rectangular lots by putting a

From a tract of land, a developer plans to fence a rectangular region and then divide it into two identical rectangular lots by putting a fence down the middle. Suppose that the fence for the outside boundary costs $20 per foot and the fence for the middle costs $8 per foot. If each lot contains 17,340 square feet, find the dimensions of each lot that yield the minimum cost for the fence.

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