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Difficult Math Question #24 - Arithmetic

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by 800guy » Wed Oct 04, 2006 8:39 pm
OA coming after some people have answered..

The dimensions of a rectangular floor are 16 feet by 20 feet. When a rectangular rug is placed on the floor, a strip of floor 3 feet wide is exposed on all sides. What are the dimensions of the rug, in feet?

(A) 10 by 14 (B) 10 by 17 (C) 13 by 14 (E) (D) 13 by 17 (E) 14 by 16
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by sagarwal82 » Wed Oct 04, 2006 10:46 pm
answere should be 10 by 14
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OA

by 800guy » Mon Oct 09, 2006 4:30 pm
OA:

The rug is placed in the middle of the room. The rug leaves 3m on either side of it both lengthwise and breadth wise. Now, the dimensions of the rug would be the dimensions of the room - the space that it does not occupy. With three 3 on either side, 6 m is not occupied by the rug in both dimensions.

So, rug size = (16-6) X (20-6) = 10 X14
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by BTGmoderatorRO » Sat Sep 16, 2017 6:53 pm
the new dimension is 10 by 14
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Re: Difficult Math Question #24 - Arithmetic

by Brent@GMATPrepNow » Mon Apr 06, 2020 12:09 pm
800guy wrote: ↑
Wed Oct 04, 2006 8:39 pm
 OA coming after some people have answered..

The dimensions of a rectangular floor are 16 feet by 20 feet. When a rectangular rug is placed on the floor, a strip of floor 3 feet wide is exposed on all sides. What are the dimensions of the rug, in feet?

(A) 10 by 14 (B) 10 by 17 (C) 13 by 14 (E) (D) 13 by 17 (E) 14 by 16
Here's a "sketch" of the provided information:
Image

From here we can see that: (width of rug) + 3 + 3 = 20
Solve to get: width of rug = 14

Likewise: (height of rug) + 3 + 3 = 16
Solve to get: height of rug = 10

So we get the following:
Image

Answer: A

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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Re: Difficult Math Question #24 - Arithmetic

by Scott@TargetTestPrep » Fri Apr 10, 2020 2:52 am
800guy wrote: ↑
Wed Oct 04, 2006 8:39 pm
 OA coming after some people have answered..

The dimensions of a rectangular floor are 16 feet by 20 feet. When a rectangular rug is placed on the floor, a strip of floor 3 feet wide is exposed on all sides. What are the dimensions of the rug, in feet?

(A) 10 by 14 (B) 10 by 17 (C) 13 by 14 (E) (D) 13 by 17 (E) 14 by 16
The dimensions of the rug are 16 - 6 = 10 feet by 20 - 6 = 14 feet.

Answer: A

Scott Woodbury-Stewart
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Re: Difficult Math Question #24 - Arithmetic

by Scott@TargetTestPrep » Mon Apr 13, 2020 3:58 am
800guy wrote: ↑
Wed Oct 04, 2006 8:39 pm
 OA coming after some people have answered..

The dimensions of a rectangular floor are 16 feet by 20 feet. When a rectangular rug is placed on the floor, a strip of floor 3 feet wide is exposed on all sides. What are the dimensions of the rug, in feet?

(A) 10 by 14 (B) 10 by 17 (C) 13 by 14 (E) (D) 13 by 17 (E) 14 by 16
The dimensions of the rug are 16 - 6 = 10 feet by 20 - 6 = 14 feet.

Answer: A

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

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