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The owner of a farm wants to build a new rectangular enclosure for her horses. The enclosure will have an area of 150 square feet,

The owner of a farm wants to build a new rectangular enclosure for her horses. The enclosure will have an area of 150 square feet, and will be surrounded on three sides by a wooden fence and on the fourth side by a brick wall. The fencing costs $6 per foot to construct, and the brick wall costs $12 per foot. What dimensions of the enclosure minimize the cost of its perimeter? How much will the farmer have to spend?

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