The story
From abuse + -age. First appeared in Middle English, c. 1450–1475, meaning “sexual misconduct”: cf. abuse (“forcing of undesired sexual activity”). Later in the 16th century, a general synonym of abuse. The word was partly repopularized after the appearance of a grammar titled Usage and Abusage: A Guide to Good English in 1942.
Etymology from Wiktionary, CC BY-SA 4.0.