Pillow is a bag or case made of cloth that is filled with feathers where you put your head while sleeping usually on bedsit helps you to sleep well and in comfort. Cushion is a bag made of cloth that is filled with different materials comes with different colors and we put it on sofas and seats we don't use these cushions to sleep but to adorn the living room. Rug it covers a small area of the floor, not the the whole floor area, it comes with different sizes. Carpeted usually extend across the entire floor from wall to wall.

A pillow is something you typically find in a bed or seperate from a couch or chair while a cushion is what is used "in" the chair or soffa itself to make it soft. A rug is a moveable "fabric" which may even look like a piece of carpet, for example around 2x2.5 meters, while a carpet typically covers an entire room, "wall-to-wall" carpeting. (Some homeowners choose carpets that may just go out the edges of the room and not be tacked down.) Now that I've explained the more formal part, I can also say that rug can also be used more informally to refer to the carpet as well. I think that typically it comes from when rugs in houses were more the norm but carried over to when carpets became more widespread around the 1950/60's. My parents born in the 40's always used them interchangeably even if we had "wall-to-wall" carpeting.

yeah right both same meaning if we use noun different meaning and in case of verb difference meaning all these things will be perfect according to situation