Question

The area of a regular hexagon of side $2\sqrt{3}$ cm is:

• A. $18\sqrt{3}c{m}^2$
• B. $12\sqrt{3}c{m}^2$
• C. $36\sqrt{3}c{m}^2$
• D. $27\sqrt{3}c{m}^2$

Answer 1

The correct option is A $18\sqrt{3}c{m}^2$

A regular hexagon consists of 6 equilaterial triangles of equal areas.
Area of a triangle $=\frac{\sqrt{3}}{4}-(2\sqrt{3}{)}^2=3\sqrt{3}c{m}^2$
$\therefore$ Required area $=6\times 3\sqrt{3}c{m}^2=18\sqrt{3}c{m}^2$