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vishal chugh: Junior | Next Rank: 30 Posts; Posts: 20; Joined: Fri Nov 18, 2011 11:28 pm; Location: Ludhiana ,Punjab, India; Thanked: 1 times

by vishal chugh » Sat Nov 19, 2011 12:07 am

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

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Source: Beat The GMAT — Problem Solving | Sat Nov 19, 2011 12:07 am

shankar.ashwin: Legendary Member; Posts: 966; Joined: Sat Jan 02, 2010 8:06 amFollowed by: 21 members; Thanked: 230 times

by shankar.ashwin » Sat Nov 19, 2011 12:16 am

ARea of X = 12*18 = 216
Area of Y = 9* X

GIven, 216 = 9 * Y

Y = 24. E IMO

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Sun Nov 20, 2011 11:36 pm

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: GMAT Instructor; Posts: 8138; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Tue May 12, 2015 4:15 am

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

The area of a rectangle is: Area = length x width

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

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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