A process for the application of tear resistant edge strip material (24) to a rubber base sheet (12) of a launderable dust control mat (20) is provided. The process involves the in-line mating of first and second strips of carboxilated rubber to the longitudinal borders of a rubber sheet (12) by means of a series of pressure rolls (32, 34). The process permits separate rubber sheet (12) and edge strip materials (24) to be joined in a continuous or semi-continuous operation immediately prior to assembly of a mat (20) thereby enhancing material handling efficiencies. An apparatus for carrying out the invention is also provided.