[tex]h = \frac{a\sqrt{3} }{2}\\8 = \frac{a\sqrt{3} }{2}\\16 = a\sqrt{3}\\a = \frac{16}{\sqrt{3} }[/tex]
[tex]P = \frac{a^{2}\sqrt{3} }{4} \\P = \frac{(\frac{16}{\sqrt{3} })^{2}\sqrt{3} }{4} \\P = \frac{\frac{256}{3}\sqrt{3} }{4} \\P = \frac{64\sqrt{3} }{3}\\[/tex]
P ≈ 37 cm²