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题库 / Prep2007E1-DS-81
In the figure above, what is the ratio ~$\frac{KN}{MN}$~ ?
(1) The perimeter of rectangle KLMN is 30 meters.
(2) The three small rectangles have the same dimensions.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
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The 3 small rectangles have the same dimensions --> let the shorter sides of small rectangles be xx and longer side be yy, so KN=LM=yKN=LM=y and MN=x+yMN=x+y. Also two smaller sides add up to bigger side, so x+x=2x=yx+x=2x=y (LM, or KN, which is yy equal to the sum of 2 shorter sides). KN/MN=y/x+y=2x/x+2x=2/3 Sufficient.
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