Last season we put in a lagoon shaped in ground pool (south central PA)

41' long x 16' wide in the deep end x 25' wide in the shallow end
Deep end is 8'
approx. 29,000 gallons
Direct sunlight from 9am to 5pm

Last season we started swimming by mid June and stopped swimming by the end of September. The pool was in the mid 80s that whole season and that is without any solar cover (we haven't bought one yet).

I am looking for a economical way to get the pool warm in the begining of the season and maybe extend the tail end a little bit. I looked at natural gas heaters, however they are expensive to own and run. Especiallly if I don't need it for the majority of the season. This is why I looked at solar.

The only issue I have with solar is that I don't want to put anything on my house if I can help it. I would rather lay something out in the yard for 2-3 weeks to get the pool up to temp and they be able to remove it during the main swim season when the water is perfectly warm all by itself.

Would buying just a couple of the 4x20 panels be enough to get the pool up to a swimmable temp within a couple of weeks?