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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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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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:
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

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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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