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A farmer wants to fence in a rectangular plot of land adjacent to the north wall...

A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. Fencing costs $20 per linear foot. The farmer is not willing to spend more than $5000. Find the dimension for the plot that would enclose the most area.

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