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A rectangle is defined to be "silver" if and only

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by Zach.J.Dragone » Sat Dec 07, 2013 11:47 am
A rectangle is defined to be "silver" if and only if the ratio of its length to its width is 2 to 1. If rectangle S is silver, is rectangle R silver?

(1) R has the same area as S
(2) The ratio of one side of R to one side of S is 2 to 1.

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by Mathsbuddy » Sat Dec 07, 2013 1:09 pm
(1) R has the same area as S: not necessarily, e.g. 4 x 0.25 = 2 = 2 x 1
(2) The ratio of one side of R to one side of S is 2 to 1: not necessarily: we don't know what the ratio of R's sides are; it could be 1000:1

Combined: insufficient, eg: 4 x 0.25 = 2 = 2 x 1 matches 1 and 2 above, but the sides of the equation are not both 2:1.
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