# Solution to the Two Hexagons in a Rectangle Puzzle +-- {.image} [[TwoHexagonsinaRectangle.png:pic]] > Both the regular hexagons have area $6$. What's the total shaded area? =-- ## Solution by Properties of [[Regular Hexagons]] +-- {.image} [[TwoHexagonsinaRectangleLabelled.png:pic]] =-- 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 $1$ and therefore the orange region has area $9$.