Elastomeric composites and elastomeric composite laminates including reinforcement strands incorporated into an elastomeric adhesive film. The strands may vary in terms of levels of tension. Facing layers, such as nonwoven webs, can be laminated to both surfaces of the elastomeric composite to form laminates. A method of making such composites and laminates involves adjusting tension among various elastic strands while extruding the elastic strands and incorporating the elastic strands into the elastomeric adhesive film.