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B
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Difficulty:
45%
(medium)
Question Stats:
65% (01:42) correct
35%
(02:07)
wrong
based on 2222
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In the figure above, what is the ratio KN/MN?
(1) The perimeter of rectangle KLMN is 30 meters.
(2) The three small rectangles have the same dimensions.
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Attachment:
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12 Aug 2010, 15:07
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What is the ratio KN/MN?
(1) The perimeter of rectangle KLMN is 30 meters. Clearly insufficient as numerous combinations of sides will make a perimeter of 30.
(2) The 3 small rectangles have the same dimensions --> let the shorter sides of small rectangles be \(x\) and longer side be \(y\), so \(KN=LM=y\) and \(MN=x+y\). Also two smaller sides add up to bigger side, so \(x+x=2x=y\) (LM, or KN, which is \(y\) equal to the sum of 2 shorter sides). \(\frac{KN}{MN}=\frac{y}{x+y}=\frac{2x}{x+2x}=\frac{2}{3}\). Sufficient.
Answer: B.
General Discussion
that was stupid!
