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

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Math Revolution GMAT Instructor
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A rectangular room has the rectangular shaped rug shown as above figur  [#permalink]

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New post 02 May 2016, 20:12
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Difficulty:

  35% (medium)

Question Stats:

79% (01:54) correct 21% (01:51) wrong based on 42 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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Re: A rectangular room has the rectangular shaped rug shown as above figur  [#permalink]

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New post 02 May 2016, 20:48
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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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Math Revolution GMAT Instructor
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Re: A rectangular room has the rectangular shaped rug shown as above figur  [#permalink]

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New post 15 May 2016, 05:15
Attachment:
square.jpg
square.jpg [ 8.22 KiB | Viewed 776 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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New post 04 Nov 2018, 01:50
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 &nbs [#permalink] 04 Nov 2018, 01:50
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A rectangular room has the rectangular shaped rug shown as above figur

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