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A square countertop has a square tile inlayin the centre,

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Director
Joined: 15 Aug 2005
Posts: 794

Kudos [?]: 75 [0], given: 0

Location: Singapore
A square countertop has a square tile inlayin the centre, [#permalink]

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03 Sep 2005, 08:24
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A square countertop has a square tile inlayin the centre, leaving an untiles strip of uniform width around the tile. If the ration of tiled are to the untiled area is 25 to 39, which of the following could be the width, in inches, of the stirp?

I. 1.5
II. 3
III. 4.5

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

Record the time taken! Also pls suggest the shortest possible method! thanks!
_________________

Cheers, Rahul.

Kudos [?]: 75 [0], given: 0

Senior Manager
Joined: 04 May 2005
Posts: 278

Kudos [?]: 79 [0], given: 0

Location: CA, USA

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03 Sep 2005, 13:03
Quote:
the ration of tiled are to the untiled area is 25 to 39

suggests the inner square and outer square's length ratio is: 5/8

With that, we assume the outer square's length is X.

The strip length is: (3/8)*X = 1.5 , 3, 4.5

So each of the option satisfy the above condition.

E

Kudos [?]: 79 [0], given: 0

03 Sep 2005, 13:03
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