There are other kinds of small carpets like rag braided sisal chenille and shag made of various kinds of materials like cotton silk leather wool and synthetic fibers. You can get area carpets for children with games and bright children's designs on them. You can get bath mats that are washable.
Know what room you want it to be positioned so as to know a rug's function; whether it stands as a mere floor covering or a wall décor. Pondering on a rug's function will allow you to consider the material of the rug. For rooms with heavy foot traffic like living rooms and dining areas choose a rug that is made with fibers that are resilient to dirt and stains; specifically natural fibers like wool. If you wish to use an area rug as a wall décor (like tapestries) choose rugs made of natural silk; since silk tends to last better than other natural materials because of its delicate and lustrous quality.
Area rugs are ideal for protecting wood or tile floors and bring warmth texture and depth to any space they occupy. Choosing the area rug that is right for your space your lifestyle and your décor preferences is largely a matter of personal taste and the only real rules that should be followed are those guidelines you establish for what you want out of your area rugs and what will work best for you and your family.