Question

Area of the regular hexagon each of whose sides measures $1cm$ is:

• A. $2.598c{m}^2$
• B. $25.98c{m}^2$
• C. $259.8c{m}^2$
• D. None of these

Answer 1

The correct option is A $2.598c{m}^2$

We divide hexagon into 6 equilateral triangle.

$\begin{array}{cc}\text{Area of one triangle}& =\frac{\sqrt{3}}{4}\times (1{)}^2\\ & =\frac{\sqrt{3}}{4}{cm}^2\end{array}$

$\begin{array}{cc}\text{Area of hexagon}& =6\times \text{Area of one triangle}\\ & =6\times \frac{\sqrt{3}}{4}\\ & =2.598{cm}^2\end{array}$

Option $\left(A\right)$ is correct.