Let $p$ and $q$ be positive numbers having a sum of $1.$ What is the minimum value of $(p+(1/p))^2 + (q+(1/q))^2?$

Question

Options are: A. $20$ B. $12$ C. $12.5$ D. $13.3$

And steps to calculate would be appreciated.

Edit: Apologies for having repeated the same question here.