8. (10 points) In a regular hexagon, two equilateral triangles each with an area of 30 square centimeters are placed as shown in the figure. What is the area of the regular hexagon in square centimeters?
135
【Solution】Solution: According to the analysis, as shown in the figure, connect $F H$, $E H$, $B G$, $C G$, $A D$. From the problem, we know that the areas of $\triangle A B G$, $\triangle D C G$, $\triangle D E H$, and $\triangle A F H$ are all equal, and each is equal to the area of $\triangle A O H$. The areas of $\triangle B C G$ and $\triangle E F H$ are equal, and when combined, they form the shape shown in Figure 2. Since quadrilateral $B H C G$ is a rhombus, and $\angle B=\angle H A G=60^{\circ}$, $\angle H=\angle A G D=120^{\circ}$, $B H: D H=1$: