The distance between the centres of two circles is 24 cm. If the radius of the two circles are 4 cm and 8 cm, then what is the sum of the lengths (in cm) of the direct common tangent and the transverse common tangent?

A

$$4(3\surd3+\surd35)$$

B

$$4(4\surd35+3\surd3)$$

C

$$4(\surd35+3\surd3)$$

D

$$4\surd3(\surd35+3\surd3)$$