Answer
$$78$$
Work Step by Step
It is known that the two points tangent to a circle from a point outside the circle are congruent. Thus, it follows that the perimeter is:
$$ \left(8\right)\left(2\right)+\left(16\right)\left(2\right)+\left(6\right)\left(2\right)+\left(9\right)\left(2\right) \\ 16+32+12+18\\ 78$$
