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Australian AMC 2020 - Senior Question 23

AMC AUSTRALIA · Australian AMC 2020 - Senior

Question 23

A rectangular sheet of paper that is three times as tall as it is wide is folded along one diagonal, making the pentagon shown.
What is the ratio of the area of this pentagon to the area of the original rectangle?

Question illustration
  1. 13 : 18
  2. 3 : 4
  3. 7 : 12
  4. 2 : 3
  5. $\sqrt{10}:4$