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Self-studying martial arts at 16?

I sincerely apologise if my question appears naive.However, here's the context:

I have always been interested in martial arts though I have never had any formal training in it.I was wondering if it is possible to pursue martial arts (or atleast get started) using books.At the moment, due to my busy schedule I may not be permitted by my parents to pursue it under an instructor.

In fact, at 16, am I too old for them?In fact, if it is possible, can anyone please recommend what type of art may be suitable for me(yes something safer ).I sincerely apologise for so many questions but I feel all of them are inter-related.

Thank you!