I am wondering if a rear bumber from a 2012 ford f150 would fit on a 2010 ford f150
I think it would. Not much has changed between those years.
You could do inside measurements of each to confirm~
The bumper for a 2010 is a two piece unit. My brother has a 2012 which also has a two piece unit. Remove the side you want to replace and bring it with you to the parts place. The difference may be in the mounting bolt holes on the back side.
Looking for a Used F-150 in your area?
CarGurus has 208,275 nationwide F-150 listings starting at $1,200.
Search Ford F-150 Questions
Are you a UK consumer? CarGurus now has a discussion forum in the UK.
Ford F-150 Experts