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A rectangular rug covers 1/2 of a rectangular floor 9 feet wide and 12 feet long. If the dimensions of the rug are in the same ratio as those of the floor, how many feet long is the rug?

A rectangular rug covers 1/2 of a rectangular floor 9 feet wide and 12 feet long. If the dimensions of the rug are in the same ratio as those of the floor, how many feet long is the rug? Correct Answer 62

The dimensions of the rug are in the same ratio as the floor. Express W in terms of L (in order to have only variable L in the area equation). That ratio will hold for the rug. Area of floor = 12 * 9 = 108 Area of rug is half that: 54 = rug area, substitute for

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