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Australian AMC 2011 - Senior Question 22

AMC AUSTRALIA · Australian AMC 2011 - Senior

Question 22

A rectangular sheet of paper is folded along a single line so that one corner lies on top of another. In the resulting figure, 60% of the area is two sheets thick and 40% is one sheet thick. What is the ratio of the length of the longer side of the rectangle to the length of the shorter side?
  1. 3 : 2
  2. 5 : 3
  3. $\sqrt2:1$
  4. 2 : 1
  5. $\sqrt3:2$