Not that I disagree, but that's an etymological coincidence. Very often when two quite different concepts have a similar word it's a matter of Latin or Greek vs

Not that I disagree, but that's an etymological coincidence. Very often when two quite different concepts have a similar word it's a matter of Latin or Greek vs Old English roots and this is an example. Monetary rent comes eventually from Latin reddere meaning "to give back". Back from there it's Proto-Indo-European. Rent as in a tear comes via Middle and Old renten/renden and back to Proto-West Germanic and then it goes cold.