Question

The area of a regular hexagon of side 4 cm is

• A. $16\sqrt{3}c{m}^2$
• B. $12\sqrt{3}c{m}^2$
• C. $24\sqrt{3}c{m}^2$
• D. $4\sqrt{3}c{m}^2$

Answer 1

The correct option is C $24\sqrt{3}c{m}^2$



A regular hexagon can be divided into 6 equal equilateral triangles.
$\therefore$ Area of a regular hexagon = $6\times$ Area of an equilateral triangle
$=6\times \frac{\sqrt{3}}{4}\times Sid{e}^2$
$=\frac{3\sqrt{3}}{2}\times (4{)}^2$ ($\therefore Side=4cm$)
$=24\sqrt{3}c{m}^2$
Hence, the correct answer is option (c).