Answer:
Step-by-step explanation:
Given is a regular hexagon with apothem 3 square root 3 mm.
We have hexagon regular can be divided into 6 equilateral triangles with common vertex at the centre of the hexagon
Each equilateral triangle will have [tex]3\sqrt{3}[/tex] as apothem
Hence using equilateral triangle property
we have side = a (say)
Then [tex]\sqrt{3} \frac{a}{2} =3\sqrt{3} \\Or a = 6[/tex]
Area of each triangle = 1/2 bh = 9 sqrt 3
Hence area of hexagon = [tex]6(9\sqrt{3})=54\sqrt{3}[/tex]
Use sqroot 3 = 1.732
we get
93.53 square mm.
