These are shag rugs, recognizable by their long, dense pile. Shag rugs are known for their soft, plush feel and ability to add warmth and texture to a room.
Shaggy rugs have a high pile height and the material used can be silk, cotton, or wool which accounts for their softness. If you have toddlers at home, then purchasing shaggy rugs is the best bet because of their softness.