1. (10 points) As shown in the figure, there are two equally sized regular hexagons inside a parallelogram. The area of the shaded part accounts for ( ) of the parallelogram's area.
A. $\frac{1}{2}$
B. $\frac{2}{3}$
C. $\frac{2}{5}$
D. $\frac{5}{12}$
【Analysis】From the conditions given in the problem, we can deduce that the shaded areas on two sides of the parallelogram are equal. Therefore, solving for the area of one shaded part and the area of the parallelogram will allow us to determine the relationship between the two.

【Solution】Solution: Each blank regular hexagon can be divided into six identical equilateral triangles,
so the blank part in total contains 12 such equilateral triangles;
and the entire large parallelogram can be divided into 24 such equilateral triangles,
so the blank part occupies half of the entire parallelogram,
thus the shaded part also occupies half of the entire parallelogram.
Therefore, the correct choice is: A.