An elastic diaper part has an inelastic substrate layer having a wide inner end for connection to a diaper and a narrow and opposite outer end spaced in a stretch direction from the inner end, narrower than the inner end, and adapted for connection to a closure. An elastic film is juxtaposed and generally contiguous with the substrate layer, and there is an array of parallel adhesive strips extending transversely of the direction between the substrate layer and the elastic film. Each strip adheres the film to the substrate layer, and the strips are each of a respective strip width and separated by spaces each of a respective spacing width. The strip and/or spacing width varies from the inner end to the outer end such that the diaper part stretches uniformly between its inner and outer ends when stretched in the direction.