A method of wrapping a palletized load includes forming at least two composite stretch films, wrapping each of the composite stretch films around the palletized load, and leaving a gap between the first composite stretch film and the second composite stretch film as the composite stretch films are wrapped around the palletized load. Forming the composite stretch films includes narrowing stretch film from a first spool to create a first banded stretch film with a first width, narrowing stretch film from a second spool to create a second banded stretch film with a second width smaller than the first width, and overlaying the second banded stretch film on the first banded stretch film, with the second banded stretch film positioned between the top edge and bottom edges of the first banded stretch film. The gap may have a width that is equal to or larger than the first width.