Question

the area of a regular heXAGON of side 2√3cm is

Answer 1

A hexagon can be thought of 6 equilateral triangles joined together of side 2√3 cm each

(If you don't observe that, then just join all the opposite vertices (diagonals) and see:) )

Area, A of an equilateral triangle is


Here, a= 2√3 cm

So, A= 3√3 cm²

:. Area of the hexagon = 6A
6×3√3
18√3

Answer 2

$area \: of \: hexagon \: is \: \frac{3 \sqrt{3} {x}^{2} }{2} \\ x = value \: of \: side \\ \\ so \\ area = \frac{3 \sqrt{3} {(2 \sqrt{3}) }^{2} } {2} \\ = 18\sqrt{3}$
$\boxed{\huge{\red{Area=18sqrt{3}}}}$