An apparatus includes first and second panels continuously joined along a first side edge, a second side edge and a bottom edge. A top portion of the respective first and second side panels defines an opening of the bag. A pair of hems each extend along the top portion of the bag. Drawstrings are enclosed within respective ones of the hems and short seals are provided to weld the first panel, the second panel, and respective ends of the drawstrings together. The short seals are each located proximate to respective ones of the side edges. A first reduced opening seal is provided to weld the first panel, the second panel, and the drawstrings together. The first reduced opening seal is located adjacent to the first side edge and includes a convex polygonal shape.