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2007 AMC 8 Question 12

AMC8 · 2007 AMC 8

Question 12

A unit hexagram is composed of a regular hexagon of side length $1$ and its $6$ equilateral triangular extensions, as shown in the diagram. What is the ratio of the area of the extensions to the area of the original hexagon?

Question illustration
  1. $1:1$
  2. $6:5$
  3. $3:2$
  4. $2:1$
  5. $3:1$