prayer rug vs carpeting

prayer rug and carpeting both are nouns.

Word	Noun	Adjective	Verb	Adverb
prayer rug	Yes	No	No	No
carpeting	Yes	No	No	No

As nouns, carpeting is a hypernym of prayer rug; that is, carpeting is a word with a broader meaning than prayer rug:

prayer rug: a small rug used by Muslims during their devotions
carpeting: floor covering consisting of a piece of thick heavy fabric (usually with nap or pile)

Other hypernyms of prayer rug include carpet, rug.

prayer rug (noun)	carpeting (noun)
a small rug used by Muslims during their devotions	floor covering consisting of a piece of thick heavy fabric (usually with nap or pile)