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
Difficult Math Question #24 - Arithmetic
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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
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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Here's a "sketch" of the provided information:800guy wrote: ↑Wed Oct 04, 2006 8:39 pmOA 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
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
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The dimensions of the rug are 16 - 6 = 10 feet by 20 - 6 = 14 feet.800guy wrote: ↑Wed Oct 04, 2006 8:39 pmOA 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
Answer: A
Scott Woodbury-Stewart
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The dimensions of the rug are 16 - 6 = 10 feet by 20 - 6 = 14 feet.800guy wrote: ↑Wed Oct 04, 2006 8:39 pmOA 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
Answer: A
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews