Hexagon
$$\textbf{Area of the hexagon}$$
$$A = \frac{1}{4} · 6 · b^2 · \frac{\cos\big(\frac{\pi}{6}\big)}{\sin\big(\frac{\pi}{6}\big)} $$
$$\textbf{Perimeter of the hexagon}$$
$$P = 6 · b $$