Answer
62.4
Work Step by Step
The height of the isosceles triangles (white) is:
$$ h=3tan(30^{\circ}) \\ h = 1.73$$
So, the areas of all of these triangles is:
$$ A = (6).5bh \\ A =(6)(.5)(1.73)(3) \\ A = 15.6$$
The length of the apothem of the regular hexagon is:
$$ a =6sin60 \\ a = 5.2$$
Thus, the area is:
$$ A = .5aP - 15.6 \\ A = (.5)(5.2)(30) - 15.6 \\ A =62.4$$
