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A Rectangular Lot Is to Be Bounded by a Fence

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A rectangular lot is to be bounded by a fence on three sides and by a wall on the fourth side. Two kinds of fencing will be used with heavy duty fencing selling for $5 a foot on the side opposite the wall. The two remaining sides will use standard fencing selling for $4 a foot. What are the dimensions of the rectangular plot of greatest area that can be fenced in at a cost of $55,200?

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x = 5,520 ...

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