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IMAS 2012–2013 — Junior Division — Round 2 Question 7

IMAS · IMAS 2012–2013 — Junior Division — Round 2

Question 7

The diagram below shows three overlapping regular hexagons, each with side length 12 cm$^2$. One of the vertices of the middle hexagon coincides with the center $O_1$ of the hexagon on the left, while one of the vertices of the hexagon on the right coincides with the center $O_2$ of the middle hexagon. What is the total area of the two shaded parts? Answer in cm$^2$.

Question illustration