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# A square counter top has a square tile inlay in the center,

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Current Student
Joined: 11 May 2008
Posts: 555

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A square counter top has a square tile inlay in the center, [#permalink]

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02 Aug 2008, 02:54
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Question Stats:

78% (01:41) correct 22% (01:13) wrong based on 41 sessions

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A square counter top has a square tile inlay in the center, leaving an untiled strip of uniform width around the tile. If the ratio of the tiled area to the untiled area is 25 to 39,which of the following could be the width, in inches, of the strip?
I. 1
II. 3
III. 4

A I only
B II only
C I & II only
D I & III only
E. I,II & III

Kudos [?]: 221 [0], given: 0

VP
Joined: 17 Jun 2008
Posts: 1374

Kudos [?]: 406 [0], given: 0

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02 Aug 2008, 23:30
arjtryarjtry wrote:
A square counter top has a square tile inlay in the center, leaving an untiled strip of uniform width around the tile. If the ratio of the tiled area to the untiled area is 25 to 39,which of the following could be the width, in inches, of the strip?
I. 1
II. 3
III. 4

A I only
B II only
C I & II only
D I & III only
E. I,II & III

consider side of smaller square as y and unifiorm width = n
side of larger square = y+2n
area of larger square is A1=(y+2n)^2
Smaller square is A2=y^2 => remaining area= A1-A2=4*n*(y+n)

hence ratio of areas of smaller to remaining is y^2/n*y*(y+n) =25/39=>substitute n= values from options and if we get equations which can be solved then that solution works ,I and II only solve the equations hence C is the answer
OA pls
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Its Now Or Never

Kudos [?]: 406 [0], given: 0

Director
Joined: 27 May 2008
Posts: 541

Kudos [?]: 363 [0], given: 0

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02 Aug 2008, 23:34
arjtryarjtry wrote:
A square counter top has a square tile inlay in the center, leaving an untiled strip of uniform width around the tile. If the ratio of the tiled area to the untiled area is 25 to 39,which of the following could be the width, in inches, of the strip?
I. 1
II. 3
III. 4

A I only
B II only
C I & II only
D I & III only
E. I,II & III

it E guys ... all we have got is a ratio... the actual strip width can be anything in inches or any other unit....

Kudos [?]: 363 [0], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 41871

Kudos [?]: 128527 [0], given: 12180

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25 Apr 2010, 05:24
Why would ANY width of the strip be impossible?

Similar problem:
hard-problem-og-quant-2nd-edition-89215.html#p674564
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Kudos [?]: 128527 [0], given: 12180

Re: kitchen counter   [#permalink] 25 Apr 2010, 05:24
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