I think furniture placement will greatly determine what you need in rug(s), and I am not sure if the furniture placement you are showing is the best for the room. Pics of all 4 walls, including entrances, as well as a floor plan would be helpful.

If the sofa is to stay where you have it in this pic, I don’t think you have room to move sofa away from wall - without significantly detracting from available floor space, as the room appears to be fairly narrow. Also, FYI, from an Eastern Feng Shui perspective, it is best to have the sofa anchored on a wall, when possible.

With the sofa in current position, I would say you need 2 rugs - or one rug, just to define sofa area - and leave the other area rug free. Right now, you have 2 chairs set up in that area; but with the shape of the room, as well as the fact that the other area appears to have it’s own ceiling light fixture - I am thinking that could perhaps be the designated dining area? If it is, it could probably use its own rug or no rug.

If sofa were on the opposite wall - that long uninterrupted wall - then you could feasibly do one rug for both areas. But again, not clear on where best place would be for the sofa, as well as the purposes of these 2 areas.