Answer
$93.6 m^2$
Work Step by Step
The area of a triangle is : $A=\dfrac{1}{2} as$
where a is apothem and s shows the side of a triangle.
Which is equal to $a=\dfrac{\sqrt 3 s}{2}=\dfrac{\sqrt 3 \times 6}{2}=5.2 m$
Now, $A=\dfrac{1}{2} as=\dfrac{1}{2} (5.2)(6)=15.6 m^2$
Since. the hexagon consists of 6 equilateral triangles, so we can calculate the area as: $A=15.6 \times 6=93.6 m^2$
