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The area of the region described....

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Senior Manager
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Joined: 02 Mar 2017
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The area of the region described....  [#permalink]

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New post 21 Apr 2017, 22:52
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

40% (00:11) correct 60% (02:39) wrong based on 5 sessions

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The area of the region described by the inequality |x|+|y|=<3 is

A)9
B)18
C)27
D)15
E)12

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Re: The area of the region described....  [#permalink]

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New post 22 Apr 2017, 00:39
i got it wrong .
Failed to consider negative signs of the variable .
Please provide official explanation.
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Senior Manager
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Joined: 02 Mar 2017
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The area of the region described....  [#permalink]

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New post 22 Apr 2017, 01:43
arvind910619 wrote:
i got it wrong .
Failed to consider negative signs of the variable .
Please provide official explanation.




The equation can be
X + Y =< 3 -----FIRST QUADRANT
-X + Y =< 3-----SECOND QUADRANT
-X - Y =<3------THIRD QUADRANT
X - Y =<3------FOURTH QUADRANT

THEY MAKE UP A SQUARE WHOOSE SIDE IS \sqrt{18}
HENCE AREA EQUALS 18

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If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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The area of the region described.... &nbs [#permalink] 22 Apr 2017, 01:43
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