bandage

English borrowed "bandage" whole from French. The French word itself was built from "bande," meaning a strip or band, plus the suffix "-age," which turns a thing into the act or result of using it.

The facts given show only the French formation and its direct borrowing into English — no further shift in meaning is recorded.

The "-age" ending traces back through Old and Middle French to Latin "-aticum," the same suffix family that shaped many other English words ending in "-age," though no specific cognate is given here.