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In the figure above, what is the ratio KN/MN?

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In the figure above, what is the ratio KN/MN? [#permalink] New post 12 Aug 2010, 13:42
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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.
Attachment:
ds.jpg
ds.jpg [ 13.75 KiB | Viewed 2238 times ]
[Reveal] Spoiler: OA

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Last edited by Bunuel on 30 May 2012, 23:51, edited 1 time in total.
Edited the question and added the OA
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Re: rectangle DS [#permalink] New post 12 Aug 2010, 14:07
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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.
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Re: rectangle DS [#permalink] New post 12 Aug 2010, 14:21
ah ... right ...

thank you i missed that part where

"Also two smaller sides add up to bigger side"
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Re: rectangle DS   [#permalink] 12 Aug 2010, 14:21
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In the figure above, what is the ratio KN/MN?

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