xrandr mandatory?
(sorry, cant comment yet on this site -rep-, will delete respective parts or convert into a comment once I can. ETA: This partial answer was written in reply to a version of the question which explicity had xrandr in the headline.)
You are asking about using xrandr for the purpose of your question. Could you add some information whether xrandr is your only option and what are criteria that determine this decision, or that may OTOH add complexity to the task that needs to be taken into account? Such as the overall solution having to meet certain starting or operational conditions (no user interaction from electrical plug-in to showing content, etc.)
If it must be xrandr you may have to look into adapting modelines to use part of the screen, or search for a post on that. I'd imagine starting with looking into not filling the screen then doing a right shift and a vertical shift by modifying. Disclaimer: I have not verified any of this so far, just trying to inform an answer.
If xrandr is dispensable, you may be able to find a (possibly unattended-bootup) set-up that simply opens an undecorated window the size of your physical viewport on a black background and let the system display whatever content you wish in that.