Answer:
[tex]Q=\frac{\pi}{2}*55.5ft=87.18ft\\P=87.18ft*\sqrt{\frac{1}{2}+\frac{16}{\pi ^{2}}}=87.18*0.9515=82.95ft\\[/tex]
Step-by-step explanation:
We have a 4-sided triangular pyramid , where
[tex]Q=\frac{\pi}{2}*H\\P=Q*\sqrt{\frac{1}{2}+\frac{4}{\pi ^{2}}}\\Q=\frac{\pi}{2}*55.5ft=87.18ft\\P=87.18ft*\sqrt{\frac{1}{2}+\frac{16}{\pi ^{2}}}=87.18*0.9515=82.95ft\\[/tex]