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 the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $40 per linear foot to install, and the farmer willing to spend $12000, nd the dimensions for the plot that would enclose the most area. What will be that optimal area

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