fitted carpet
US /ˌfɪt.ɪd ˈkɑːr.pɪt/
UK /ˌfɪt.ɪd ˈkɑːr.pɪt/

1.
a carpet that is cut to fit the shape of a room and is fastened to the floor
:
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The entire house had new fitted carpet installed last week.
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She preferred the warmth of a fitted carpet to bare wooden floors.