Answer:
[tex]SA=1,204.4\ mm^2[/tex]
Step-by-step explanation:
we know that
The surface area of a pentagonal pyramid is given by the formula
[tex]SA=B+LA[/tex]
where
B is the area of the pentagonal base
LA is the area of its five congruent lateral triangles
we have
[tex]B=440.4\ mm^2[/tex]
[tex]LA=5[\frac{1}{2}(16)(20)]=800\ mm^2[/tex]
so
[tex]SA=404.4+800=1,204.4\ mm^2[/tex]
