household vs menage

household and menage both are nouns.

Word	Noun	Adjective	Verb	Adverb
household	Yes	No	No	No
menage	Yes	No	No	No

As nouns, household and menage are synonyms defined as:

Other synonyms of household include family, home, house.

household (noun)	menage (noun)
a social unit living together	a social unit living together