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Question: A roll of carpet is fifteen feet wide. The carpet costs $20 per square yard. A customer must buy the carpet in a piece that is fifteen feet in width, but the carpet can be cut to any length. Beth wants to use exactly one piece of carpet to cover a floor that is trapezoidal in shape, rather than putting multiple pieces together. However, she must also pay for any wasted carpet. Find the cost of the shortest length of carpet that she can use?
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