<image>If the degree of the CAB angle is 45, the ACDE shape is a combination of a rectangle and a semi-circle, the length of the CD side is 7, the area of the ACDE shape is 108, the degree of the GCB angle is 60 and the adjacent angles BCA and GCB are complementary, compute the length of the AB side of the ABC triangle. Assume $\pi=3.14$. Round computations to 2 decimal places.