A man starts from point ‘O’ travels 20 km towards East to reach point ‘A’. turns right and travels 10 km to reach point ‘B’, turns right and travels 9 km to reach point ‘C’, tums right and travels 5 km to reach point ‘D’. turns left and travels 12 km to reach point ‘E’ and then turns right and travels 6 km to reach point ‘F’. What is the shortest distance between point ‘A’ and point ‘D’?

A

$$ 5\sqrt{17} $$

B

$$ \sqrt{106} $$

C

$$ \sqrt{181} $$

D

13