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A rectangular lot whose perimeter is 290 ft is fenced along three sides. An expensive fencing along the lot's length cost $15 per foot.

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A rectangular lot whose perimeter is 290 ft is fenced along three sides. An expensive fencing along the lot's length cost $15 per foot. An inexpensive fencing along the two side widths costs only $3 per foot. The total cost of the fencing along the three sides comes to $1635. What are the lot's dimensions?

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