Question

what will be the area of a regular hexagon of side 4 cm?​

Answer 1

Answer:

$54\sqrt{3} cm^{2}$

Step-by-step explanation:

Area of regular hexagon of side "a" = 6*(area of triangle of side "a")

                                                            = $6*(\frac{\sqrt{3} }{4}a^{2} )$

                                                            =  $\frac{3\sqrt{3}a^{2} }{2}$.

Therefore,

Area of the regular hexagon of side 4 cm = $\frac{3\sqrt{3}(6)^{2} }{2}$

                                                                      = $54\sqrt{3} cm^{2}$.