Notes
two hexagons in a rectangle solution

Solution to the Two Hexagons in a Rectangle Puzzle

Two Hexagons in a Rectangle

Both the regular hexagons have area 66. What’s the total shaded area?

Solution by Properties of Regular Hexagons

Two hexagons in a rectangle labelled

The decomposition above shows that the orange region comprises nine equilateral triangles, where each hexagon is six. So each of those equilateral triangles has area 11 and therefore the orange region has area 99.