Haven't used it in the tub, just on the floor, but my wife had the idea to use a plastic shower curtain liner. Cheap, big, strong. Depending on how big the tub is, that might be worth a try.
Sad tub-related note: I'm selling my house (that's a good thing) but the day we were going to do one final shaving cream bath in the garden tub, the contractor was working on the house. New tub is just not big enough