FYI: the adjective старый|ая|ое (old) has the cognate nouns старик (an old man) and старуха (an old woman)
Спасибо за информацию! It also has the cognate nouns старец (a old monk (monastic elder)) and старица (an old nun).
Just another possible translation that was rejected and I think ought to be accepted, "This school is already quite old". I have reported it.