Assuming that side AB is extended to point D (past point B) so that AD = 17:
1) Find the size of BC: using the Pythagorean Theorem, BC = 12.
2) Find the size of angle(ABC): sin(ABC) = 5/13 ---> angle(ABC) = 22.62o.
3) Find the size of angle(CBD): angle(CBD) = 180o - 22.62o = 157.38o.
4) Find the area of triangle(BCD) using the formula
area = ½ ·a · b · sin(C) = ½ ·12 · 4 · sin(157.38o)
= ...........