the cooling fan stays on for a long time after shutting off and I smell something hot

What is your question?

When I shut the car off after highway driving home in cold weather, the cooling fan stays on as if the car was very hot. I also detect a slight burned rubber smell like something is too hot. It has 200K miles on it. Is this something I should be concerned about and spend the $$ to have the dealer check it out?

What makes this problem better or worse?

highway speed driving

How long has your 2012 Volkswagen Jetta had this problem?

just noticed it