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Geometry

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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Geometry

by VenugopalGurram » Thu Dec 06, 2012 12:09 am
A Square counter-top has a square tile in the center, leaving an untilled strip of uniform width around the tile.If the Ratio of the tiled area to the untilled area is 25:39, which of the following be the width in inches, of the strip?
I)1 II)3 III).4

A.I Only
B.II only
C.I and II only
D.I and III only
E.I,II and III
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by Jim@StratusPrep » Thu Dec 06, 2012 8:46 am
The idea here is that this is a ratio so there are infinite combinations and thus infinite lengths for the strip, including all of those listed in the problem.
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by ritind » Sat Dec 08, 2012 10:37 am
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Let the length of square counter be "x"
area = x^2
Let the length of tile be "y"
area = y^2
area of the untilled area = x^2 - y^2
We know that
y^2/x^2 - y^2 = 25/39
on solving u'll get
x=8 and y=5 (assumption taken looking at the option)
width in inches could be 3
OA is B
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