Find the surface area of a pentagon-based pyramid with slant height of 11 m.
Apothem of the pentagon = 3.5 m

Answer:
108.75 square meter.
Step-by-step explanation:
[tex]\sf \boxed{\text{\bf Surface area of pentagonal pyramid = $ \bf \dfrac{5}{2}*b*(a + s)$}}[/tex]
Here, b is the base length of the pyramid. b = 3 m
a is the apothem of the pyramid. a = 3.5 m
s is the slant height of the pyramid. s = 11 m
[tex]\sf Surface \ area = \dfrac{5}{2}*3*(11 + 3.5)[/tex]
[tex]\sf = \dfrac{5}{2}*3*14.5\\\\ = 108.75 \ m^2[/tex]