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 6
B 21/2
C 27
D 62

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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