The dimensions of a rectangular floor are 16 feet by 20 feet. When a rectangular rug is placed on the floor, a strip of

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Gmat_mission: Legendary Member; Posts: 1622; Joined: Thu Mar 01, 2018 7:22 amFollowed by: 2 members

by Gmat_mission » Thu May 21, 2020 1:26 am

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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
D. 13 by 17
E. 14 by 16

[spoiler]OA=A[/spoiler]

Source: GMAT Paper Tests

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Source: Beat The GMAT — Problem Solving | Thu May 21, 2020 1:26 am

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

Re: The dimensions of a rectangular floor are 16 feet by 20 feet. When a rectangular rug is placed on the floor, a strip

by Brent@GMATPrepNow » Thu May 21, 2020 9:02 am

Gmat_mission wrote: ↑
Thu May 21, 2020 1:26 am
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
D. 13 by 17
E. 14 by 16

[spoiler]OA=A[/spoiler]

Source: GMAT Paper Tests

Here's a "sketch" of the provided information:

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:

Answer: A

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8152; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: The dimensions of a rectangular floor are 16 feet by 20 feet. When a rectangular rug is placed on the floor, a strip

by Scott@TargetTestPrep » Mon May 25, 2020 5:10 am

Gmat_mission wrote: ↑
Thu May 21, 2020 1:26 am
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
D. 13 by 17
E. 14 by 16

[spoiler]OA=A[/spoiler]

Source: GMAT Paper Tests

Solution:

The dimensions of the rug are 16 - 6 = 10 feet by 20 - 6 = 14 feet.

Answer: A

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