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# A square countertop has a square tile inlayin the centre,

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Joined: 15 Aug 2005
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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!
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Cheers, Rahul.

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Joined: 04 May 2005
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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
03 Sep 2005, 13:03
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# A square countertop has a square tile inlayin the centre,

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