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The dimensions of a rectangular floor are 16 feet by 20 feet. When a

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The dimensions of a rectangular floor are 16 feet by 20 feet. When a  [#permalink]

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New post Updated on: 31 Oct 2018, 22:25
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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

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Originally posted by pushpitkc on 31 Oct 2018, 19:03.
Last edited by Bunuel on 31 Oct 2018, 22:25, edited 1 time in total.
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Re: The dimensions of a rectangular floor are 16 feet by 20 feet. When a  [#permalink]

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New post 31 Oct 2018, 20:22
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pushpitkc wrote:
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


Given \(3\) feet wide is exposed on all sides. Hence all \(4\) sides will have \(3\) feet gap.

Length of floor \(= 20\)

Length of rug \(= 20 - 3 - 3 = 14\)

Width of floor \(= 16\)

Width of rug \(= 16 - 3 - 3 = 10\)

Hence dimensions of rug \(= 10\) by \(14\)

Answer A.
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Re: The dimensions of a rectangular floor are 16 feet by 20 feet. When a   [#permalink] 31 Oct 2018, 20:22
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