Two congruent equilateral triangles are placed so that their overlap is a regular hexagon. The triangles each have area 24 sq. cm. What is the area of the hexagon?
△ABC and △DEF create hexagon UVWXYZ.
△ABC has area 24 cm2. It’s composed of nine small triangles, e.g. △AUV.
Each small triangle has area
The hexagon contains six of those triangles, thus its area is