An apertured elastic member having a first direction, a second direction perpendicular to the first direction and a substantially constant thickness dimension. The apertures are aligned in a pattern of rows substantially parallel to the first direction. A nonapertured region extends uninterrupted between adjacent rows of apertures parallel to the first direction. The member has a plurality of repeating units, each having substantially the same amount of material everywhere along the repeating unit in a direction parallel to the second direction.