<PRE><B>Question 955402</B>
a=side of hexagon=side of triangle(star points);  A=Area of hexagon=60
{{{a=3^(1/4)sqrt(2(A/9))}}}={{{1.32(sqrt(13.33))}}}={{{1.32(3.65)=4.82}}}
Sides of the hexagon (and triangles) measure 4.82 units.
For the triangles:
{{{Area=(1/4)sqrt(3)a^2}}}={{{1/4sqrt(3)(4.82)^2=0.4330(23.23)}}}={{{10.06units^2}}}
There are 6 triangles=6(10.06)=60.36 sq units
Hexagon+triangles=60 sq units+60 sq units=120 sq units
---OR--- 
The triangles folded in have same area as the hexagon, so total area=2(60 sq units)=120 sq units.
ANSWER: Total area is 120 square units.</PRE>