Attachment:
2017-09-26_1117.png [ 5.34 KiB | Viewed 10 times ]
Since the unshaded region is equilateral and equiangular,
the hexagon within the rectangle will have 6 equilateral triangles.
Each equilateral triangle will further contain two triangles of equalarea.
These smaller triangles have an area equal to the shaded triangles,
because they have same base and height as the shaded triangles.
The hexagon itself will have12 triangles (each of which has the same area as the shaded triangle)
There are a total
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