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vishal chugh
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ARea of X = 12*18 = 216
Area of Y = 9* X
GIven, 216 = 9 * Y
Y = 24. E IMO
area
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vishal chugh wrote:Q. Rectangular Floors X and Y have equal area. If floor X is 12 feet by 18 feet and Floor Y is 9 feet wide, What is the length of Floor Y, in feet?
A. 13.5 B. 18 C. 18.75 D. 21 E. 24
Solution:
It can be easily observed that one dimension of floor X = 18 feet is twice the given dimension of floor Y = 9 feet.
Hence, since the area has to remain the same for both floors, the other dimension of floor Y should be twice the other dimension of floor X = 12, which makes it 2*12 = 24.
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Scott@TargetTestPrep
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The area of a rectangle is: Area = length x widthvishal chugh wrote:Q. Rectangular Floors X and Y have equal area. If floor X is 12 feet by 18 feet and Floor Y is 9 feet wide, What is the length of Floor Y, in feet?
A. 13.5 B. 18 C. 18.75 D. 21 E. 24
We are given that floor X is 12 feet by 18 feet and that floor Y is 9 feet wide. So we can say:
length of X = 12
width of X = 18
width of Y = 9
length of Y = n
We also can say:
Area of Floor X = Area of Floor Y
(length of X)(width of X) = (length of Y)(width of Y)
(12)(18) = 9n
(12)(2) = n
24 = n
The answer is E
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