Hello
the hexagon can be divided into 6 similar equilateral triangles, which have the same size and area than the ABC triangle
so the area of the whole hexagram is 12 triangles
Using pythagoras theorem in ABC, you can see the height is 2sqrt(3), so the area is 4 * 2sqrt(3) / 2 = 4sqrt(3)
So the total area of the hexagram is 12 * 4sqrt(3) = 48sqrt(3)