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A rectangular piece of land is to be fenced using two kinds of fencing. Two opposite sides will be fenced using standard fencing that

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A rectangular piece of land is to be fenced using two kinds of fencing. Two opposite sides will be fenced using standard fencing that costs $6/m, while the other two sides will require heavy-duty fencing that costs $9/m. What are the dimensions of the rectangular lot of greatest area that can be fenced for a cost of $9000?

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