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# A rectangular room has the rectangular shaped rug shown as above figur

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8456
GMAT 1: 760 Q51 V42
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A rectangular room has the rectangular shaped rug shown as above figur  [#permalink]

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Updated on: 27 Jan 2019, 09:59
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Difficulty:

25% (medium)

Question Stats:

81% (02:15) correct 19% (02:19) wrong based on 61 sessions

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A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 120 square feet and its length is 2 feet longer than its width. If the uniform width between the rug and room is 2 feet, what is the area of the region uncovered by the rug (shaded region), in square feet?

A. 32
B. 36
C. 40
D. 46
E. 104

* A solution will be posted in two days.

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Originally posted by MathRevolution on 02 May 2016, 21:12.
Last edited by gmatbusters on 27 Jan 2019, 09:59, edited 1 time in total.
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Joined: 02 Aug 2009
Posts: 8336
Re: A rectangular room has the rectangular shaped rug shown as above figur  [#permalink]

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02 May 2016, 21:48
1
MathRevolution wrote:
A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 120 square feet and its length is 2 feet longer than its width. If the uniform width between the rug and room is 2 feet, what is the area of the region uncovered by the rug (shaded region), in square feet?

A. 32
B. 36
C. 40
D. 46
E. 104

* A solution will be posted in two days.

Hi MathRevolution,

Please be more dilligent in posting Qs.
Either you do not put mathematical signs, which makes Q impossible to comprehend OR you mention 'above figure' but do not attach it ..
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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8456
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: A rectangular room has the rectangular shaped rug shown as above figur  [#permalink]

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15 May 2016, 06:15
Attachment:

square.jpg [ 8.22 KiB | Viewed 1072 times ]

As you can see from the question, rug’s area is 120 and the length is 2 feet longer than the width.
Hence, we can obtain a figure like the one below. So, if we calculate, we get (12+4)(10+4)-12*10=104. The correct answer, thus, is E.
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Re: A rectangular room has the rectangular shaped rug shown as above figur  [#permalink]

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04 Nov 2018, 02:50
1
MathRevolution wrote:
A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 120 square feet and its length is 2 feet longer than its width. If the uniform width between the rug and room is 2 feet, what is the area of the region uncovered by the rug (shaded region), in square feet?

A. 32
B. 36
C. 40
D. 46
E. 104

* A solution will be posted in two days.

Dear Moderator,
Found this PS section in the DS section of Geometry, kindly look into this. Thank you.
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Re: A rectangular room has the rectangular shaped rug shown as above figur   [#permalink] 04 Nov 2018, 02:50
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