What is the area (in sq cm) of a regular hexagon of side 15 cm?

337.5 \(\sqrt{3}\)

Area of regular hexagon = 6 × area of one equilateral triangle.

                                       = 6 × \(\frac{\sqrt{3}}{4}\) a²

                                       = 6 × \(\frac{\sqrt{3}}{4}\) 15²

                                       = 6 × \(\frac{\sqrt{3}}{4}\) × 225

                                       = 337.5 \(\sqrt{3}\)