Carpet or not

Hi

I have a room that is 12.5 feet deep and 13.7 wide and 8 foot seeling

I have the speakers on the wide side wall and a big wide sofa at my listning possition on the other wide side wall.
it its low has a big laying down arrengment and cover up alot of the floor space.

I getting some speakers that are basicaly to big for the room .

Now should i cover the whole room with thick carpet or should i treat the seeling and leave some of the floor bare ?

I have noticed that many Rives treated rooms have the area around the seakers bare and with no carpet is this also the best way with a small room ?

eny thourgts or advice will be greatly appriciated.

regards