Two circles with centres `O_(1) and O_(2)` touch each other externally at a point R. AB is a tangent to both the circles passing through R. P'Q' is an-other tangent to the circles touching them at P and Q respectively and also cutting AB at S. PQ measures 6 cm and the point S is at distance of 5 cms and 4 cms from the centres of the circles. What is the area of triangle `SO_(1)O_(2)`?

Options

A. `2(3+sqrt(7))cm^(2)`
B. `(3(4+sqrt(7)))/(2)cm^(2)`
C. `(3(3+sqrt(7)))/(2)cm^(2)`
D. `(5(5+sqrt7))/(2)cm^(2)`