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Australian AMC 2020 - Intermediate Question 18

AMC AUSTRALIA · Australian AMC 2020 - Intermediate

Question 18

Two sides of a regular hexagon are extended to create a small triangle.
Inside this triangle, a smaller regular hexagon is drawn, as shown.
In area, how many times bigger is the larger hexagon than the smaller hexagon?

Question illustration
  1. 4
  2. 6
  3. 8
  4. 9
  5. 12