It looks a small section but you need to be brave and aggressively grind the rot out and have a clean area to weld to. It looks small but a clean up is needed for a full assessment.
It does appear to be just a small section at first glance, I would cut out a repair panel on some sheet steel. Place that against your area then cut that section of floor out, then tack weld your repair panel in situ looking at the floor some manipulation of your repair panel to follow the contours may be needed. If your not a welder have a look on Facebook and search for welders in your area. If you look at my progress thread you can see I had a jacking point repaired to a good standard for a reasonable price.