Question 859595
We can use the Law of Sines:

{{{8/sin(30)=b/sin(45)}}}

{{{b=8sqrt(2)}}}

{{{8/sin(30)=c/sin(105)}}}

{{{c=8sqrt(sqrt(3)+2)}}}


{{{P=8(1+sqrt(2)+sqrt(sqrt(3)+2))}}}

rounded...P=34.77