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

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A farmer wants to fence in a rectangular plot of land adjacentto 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 aneighbor who will split the cost of that portion of the fence. Ifthe fencing costs $16 per linear foot to install and the farmer isnot willing to spend more than $4000, find the dimensions for theplot that would enclose the most area.

(width, length) =

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