Seven identical regular hexagons are arranged in a honeycomb pattern. If each hexagon has area 8, what is the area of the red triangle?
As seen in this diagram, we can divide the triangle into 12 smaller, congruent triangles. The inner hexagon, which has area 8, is made up of 6 of these 12 triangles, so the area of the red triangle is 8+8, or 16.
- Problem by Aidan Poor
- Solution by Zico Quintina
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