geometry

Note that  in  both shaded triangles.....the  angles  that  are touching the base of the  figure  must   = 60°

So  the shaded area ( a triangle)  on the left  =  (1/2) (6)(3)sin(60°)

And   the shaded area on the right (a riangle)  = (1/2) * (6) (4) sin (60°)

So....the total area of the two shaded regions  =

(1/2)(6)sin(60°)  [ 3 + 4 ]  =

3(√3/2)  [ 7]  =

 21√3

_____     units^2    ≈   18.19 units^2

     2

The area of the triangle on the left is 7.794 units², and the area of the triangle on the right is  10.394 units².

Therefore, the total shaded area is:  18.188 units²