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A square countertop has a square tile inlay in the center, leaving an

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A square countertop has a square tile inlay in the center, leaving an  [#permalink]

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New post 13 Sep 2018, 04:52
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

64% (02:22) correct 36% (02:10) wrong based on 48 sessions

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A square countertop 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 total area of the countertop is 9 to 16, which of the following could be the width, in inches, of the strip?

I. 3
II. 5
III. 6

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

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Re: A square countertop has a square tile inlay in the center, leaving an  [#permalink]

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New post 13 Sep 2018, 05:17
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Ratio of squares is 9:16 that means the ratio of sides of squares is 3:4.
Now moving ahead any number multiplied to 3 and 4 shall result in answer.
For example-3*3=9 and 4*3=12 therefore difference is 3.
Similarly, 3*5=15 and 4*5=20 difference is 5.
Next, 3*6=18 and 4*6=24 difference is 6.
So we saw all the 3 options can be derived.thus answer is E.

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Re: A square countertop has a square tile inlay in the center, leaving an  [#permalink]

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New post 02 Dec 2018, 20:24
Great Explanation is given by @Bunnel in the below similar question.

Check this out for better understanding
https://gmatclub.com/forum/a-square-wooden-plaque-has-a-square-brass-inlay-in-the-89215.html

Hope it helps :)
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Re: A square countertop has a square tile inlay in the center, leaving an   [#permalink] 02 Dec 2018, 20:24
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