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IMAS 2015/2016 Junior Round 2 Question 7

IMAS · IMAS 2015/2016 Junior Round 2

Question 7

The diagram shows a tile divided into regular hexagons of side length 1 cm. What is the total area, in cm$^2$, of the parts of the tile which are shaded?

Question illustration

Entry format: use sqrt(3) for the square root of 3, * for multiplication, and / for division; omit units.