Cori,

Liqiud Nails, Projects and Construction. It will glue polyethylene
sheeting. Whether it is strong enough for your application, I don't
know. Get the right Liquid Nails, there are many varieties. I have
tried many adhesives, most won't work on polyethylent. Note that
liquid nails will initially soften polyethylene, it may take 8 hours to
fully set. Good luck.

Stretch