A regular hexagon has 6 sides.
The area of a regular hexagon given the apothem is given by:
[tex]\text{ Area (A) =}\frac{1}{2}\text{ }\times\text{ Perimeter of the hexagon}\times\text{ apothem}[/tex]The perimeter of a hexagon is calculated by:
[tex]\begin{gathered} \text{ Perimeter (P) = number of sides x side length} \\ \text{ = 6 x 12 = 72cm} \end{gathered}[/tex]Hence,
[tex]\text{ Area (A) =}\frac{1}{2}\times72\times10.39=374.04cm^2[/tex]Therefore, the area of the regular hexagon is 374.04cm²
