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Australian AMC 2013 - Upper Primary Question 15

AMC AUSTRALIA · Australian AMC 2013 - Upper Primary

Question 15

Two identical equilateral triangles, each with an area equal to $36\text{ cm}^2$, are placed one on top of the other so that the overlap forms a regular hexagon.

Question illustration

What is the area of the hexagon?
  1. $18\text{ cm}^2$
  2. $20\text{ cm}^2$
  3. $24\text{ cm}^2$
  4. $30\text{ cm}^2$
  5. $36\text{ cm}^2$