Using Pythagorean Theorem, 15^2-9^2=12^2, so the length AD equals to 12. DC is 12sqrt(3) because the side facing the 60 degree angle is always sqrt(3) times larger than the side facing the 30 degree angle. Lastly, AC is two times AD, which is 24.
Adding the side lengths up, AB+AC+DC+BD=15+24+12sqrt(3)+9=48+12sqrt(3).
