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A rectangular shaped plot of land is surrounded using two kinds of fence. A resistant fence, at a cost of $3 per meter, will be

A rectangular shaped plot of land is surrounded using two kinds of fence. A resistant fence, at a cost of $3 per meter, will be used on two of its opposite sides while the other two sides will be lined with a standard fence, at a cost of $2 per meter. What are the dimensions of the rectangular lot of land of maximum area that can be fenced off at a cost of $6,000?

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