Maths Olympiad Prep

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Geometry Difficulty 2.1 Junior Find the answer Canada

In the diagram, what fraction of the area of the regular hexagon
is shaded?

IMG0

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Pick one

Solution

The regular hexagon is divided into 66 triangles having equal area. Since 11 of these 66 triangles is shaded, then 16\frac16 of the area of the hexagon is
shaded.

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.