10. (12 points) The preliminary plan view of the CCTV headquarters building is shown in the figure below. In the figure, $A B C D E F$ is a regular hexagon with an area of 60, and $G, H, I, J$ are the midpoints of $A B, C D, D E, F A$ respectively. The area of the shaded part is . $\qquad$
【Solution】Solution: According to the analysis, using grid points and cutting and supplementing, the figure is divided,
Obviously, the shaded part consists of 24 small right-angled triangles of equal area, and the blank part consists of 24 small right-angled triangles of equal area,

Therefore, the area of the shaded part and the blank part is equal, so the area of the shaded part $=60 \div 2=30$, the answer is: 30