Hi roswald,
Welcome to the Heartland Owners Forum.
Landmark 365 units come standard with a residential refrigerator that runs on 120V AC only. When not on shore power, the batteries (2 standard), provide power to a dedicated inverter that supplies power to the refrigerator.
You can probably keep the refrigerator running for a day without shore power, along with some LED lighting, water pump, and power to the water heater circuit board (with water heater set to run on propane). If it's cold and you're running the furnace, the blower draws quite a bit of battery power, so you'll draw down the batteries much faster.
You can add batteries - some people have 4 batteries. If regularly boon docking, you may also want to consider a rooftop solar installation to keep the batteries charged. And of course a generator is another option. A few hours of generator run time may keep your batteries charged for the day.