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# The figure above represents a square garden that is divided

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Senior Manager
Joined: 28 Jun 2007
Posts: 307
The figure above represents a square garden that is divided  [#permalink]

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15 Sep 2007, 16:20
1
2
00:00

Difficulty:

(N/A)

Question Stats:

73% (00:39) correct 27% (01:19) wrong based on 96 sessions

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The figure above represents a square garden that is divided into 9 rectangular regions with indicated dimensions in meters. The shaded regions are planted with peas, and the unshaded regions are planted with tomatoes. If the sum of the areas of the regions planted with peas is equal to the sum of the areas of the regions planted with tomatoes, what is the value of x?

A. 0.5
B. 1
C. 1.5
D. 2
E. 2.5

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VP
Joined: 09 Jul 2007
Posts: 1081
Location: London

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Updated on: 15 Sep 2007, 16:52
1
1
3*3+3*3+(6-x)3+3*x+3*x=36+3x

3*3+(6-x)3+(6-x)3+3*x=45-3x

now S1=S2

36+3x=45-3x
6x=9
x=1.5

C

Originally posted by Ravshonbek on 15 Sep 2007, 16:51.
Last edited by Ravshonbek on 15 Sep 2007, 16:52, edited 1 time in total.
VP
Joined: 08 Jun 2005
Posts: 1139

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15 Sep 2007, 16:51
shaded regions = (9-3-x)*3+3*3+3*3+3x+3x = 18-3x+18+6x

unshaded regions = (9-3-x)*3+(9-3-x)*3+3*3+3x = 18-3x+18-3x+9+3x

since:

18-3x+18+6x = 18-3x+18-3x+9+3x

36+3x = 36-6x+9+3x

9 = 6x

x = 1.5

Current Student
Joined: 28 Dec 2004
Posts: 3280
Location: New York City
Schools: Wharton'11 HBS'12

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16 Sep 2007, 08:55
nice works..now why didnt i think of solving it this way??
Senior Manager
Joined: 28 Jun 2007
Posts: 307

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16 Sep 2007, 11:46
OA is indeed C.
Director
Joined: 17 Sep 2005
Posts: 873

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16 Sep 2007, 18:30
Key is "square garden".

- Brajesh
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 4939
Location: Singapore

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16 Sep 2007, 23:08
Ans :C.

Attachment is my working.
Attachments

plot.doc [37.5 KiB]

VP
Joined: 08 Jun 2005
Posts: 1139

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16 Sep 2007, 23:23
ywilfred wrote:
Ans :C.

Attachment is my working.

Nice work !

Non-Human User
Joined: 09 Sep 2013
Posts: 7758
Re: The figure above represents a square garden that is divided  [#permalink]

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07 Sep 2017, 22:09
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

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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Re: The figure above represents a square garden that is divided &nbs [#permalink] 07 Sep 2017, 22:09
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