French word -age comes from Middle French -age

Detailed word origin of -age

Dictionary entry	Language	Definition
-age	Middle French (frm)	Forms nouns with the sense of "action or result of Xing" or, more rarely, "action related to X". Forms nouns with the sense of "state of being (a) X".
-age	French (fra)	(rare) Forming collective nouns.. Forming nouns with the sense of "action or result of Xing" or, more rarely, "action related to X".. Forming nouns with the sense of "state of being (a) X".

Words with the same origin as -age