The side of hexagon is s = 3.4 cm.
The apothem is a = 2.9 cm.
The formula for the area of regular hexagon is,
[tex]A=\frac{1}{2}\cdot P\cdot a[/tex]Here, P is perimeter of hexagon.
Determine the perimeter of hexagon.
[tex]\begin{gathered} P=6s \\ =6\cdot3.4 \\ =20.4 \end{gathered}[/tex]Substitute the value in the area formula to obtain the area of regular hexagon.
[tex]\begin{gathered} A=\frac{1}{2}\cdot20.4\cdot2.9 \\ =29.58 \\ \approx29.6 \end{gathered}[/tex]So answer is 29.6 square centimeter.
