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