A process for the application of tear resistant side and edge strip materials to a rubber base sheet of a launderable dust control mat is provided. The process involves the in-line mating of first and second strips of carboxylated rubber to the longitudinal borders of a rubber sheet and the in-line mating of third and fourth strips of carboxylated rubber to the leading and tailing edges of a rubber sheet, respectively, all by means of a series of pressure rolls. The process permits separate rubber sheet and side strip materials to be joined in a continuous or semicontinuous operation immediately prior to assembly of a mat thereby enhancing material handling efficiencies. Dust mats produced thereby are also provided.