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A square counter top has a square tile inlay in the center [#permalink]
22 May 2008, 16:27

00:00

A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

57% (01:07) correct
43% (00:22) wrong based on 28 sessions

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

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

A sample value is Square of SIDE 5 and STRIP of thickness 3; total counter 8; Now, the ratio of canter square area and strip area is 25/39. Since, there is no constraint on the total size, this exact shape can shrink/expand maintaining its ratios and achieveing any strip thickness including 1/3/4 - Hence E.