Question

Find the area of a regular hexagonwith a side length of 4 cm and anapothem of approximately 3.5 cm.Area = [?] cm2

Answer 1

A regular decagon is a 10-sided shape with equal side length.

The area A of a regular decagon is given as;

`\begin{gathered} A=(n* a* s)/(2) \\ \text{Where;} \\ n=number\text{ of sides;} \\ a=\text{apothem}; \\ s=\text{side length} \end{gathered}`

Thus, the area of the regular decagon is;

`\begin{gathered} A=(10*5*3.25)/(2) \\ A=81.25m^2 \end{gathered}`

FINAL ANSWER:

`A=81.25m^2`