Consider a triangle with side lengths 4 meters, 6 meters, and 9 meters. A dog runsaround the triangle in such a way that the shortest distance of the dog from thetriangle is exactly 1 meter. The total distance covered (in meters) by the dog in oneround is

A

$$22 + 2 \pi$$

B

$$19 + 2 \pi$$

C

22

D

$$22 - 2 \pi$$