Question 870828
note that a hexagon has 6 sides and made up of 6 equalaterial triangles
a) angle EOD = 360 / 6 = 60 degrees
b) divide one of the equilateral triangles in half and we get a 30, 60, 90 right triangle.  we know the altitute of the new triangle is 3 cm and we can calculate its base by tan(60) = altitude / base = 3 / base and
base = 3 / tan(60) = 1.73 cm, therefore the area of the new triangle is
area = (1/2)*(1.73)*3 = 2.60 cm^2
now the area of EOD is 2 * 2.60 = 5.2 cm^2, and
area of ABCDEF is 6*(5.2) = 31.2 cm^2