spread (something) under (someone or something)
To open, stretch, or unfold something and lay it out underneath someone or something else. Spread a tarp or some newspapers under you while you're painting. I don't want any getting on the floor! I have a canvas that I spread under my workbench. That way, I can pick it up at the end of the day and just shake all the metal shavings and debris out into the dumpster.
spread something under someone or something
to extend or unfold something, such as a tarpaulin, beneath someone or something. Please spread some newspapers under Jimmy while he is working this clay. Would you spread some newspapers under your work, please?