Decompose the regular hexagon into six matching triangles. What is the area of a hexagon?

((3√3) / 2) * (s^2)

Step-by-step explanation:

A hexagon can be split up into 6 equilateral triangles by drawing a line from a corner to the opposite corner. The equilateral triangles would have a side length of (if the hexagon has a side length of s) s. The area of an equilateral triangle is (√3) / 4 * s^2. Multiplying this by 6 gets us ((3√3) / 2) * (s^2).