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Australian AMC 2023 - Intermediate Question 25

AMC AUSTRALIA · Australian AMC 2023 - Intermediate

Question 25

Six identical equilateral triangles of side length 2 are drawn outside a regular hexagon of side length 1, defining a larger hexagon as shown. What is the ratio of the larger hexagon’s area to the smaller hexagon’s area?

Question illustration
  1. 5 : 1
  2. 6 : 1
  3. 7 : 1
  4. 8 : 1
  5. 9 : 1