The Continent of Armercia is located westwards from the continent where the Country of Aznith and Country of Viomich are located. These two continents are separated by a huge sea, to which Yuuta doesn't know the name of yet. In fact, up until now, Yuuta still doesn't know a lot when it comes to the geography of the World of Lucid. He'd been told that it's quite similar to the Earth's geography except every country and continent are named differently than Earth's, which is more or less expected since it would be a lot weirder if both worlds who are in a different dimension share even the names of their countries and continents.
Yuuta didn't know what to expect as soon as he stepped into the teleportation device but he wondered if the Continent of Armercia would look just like North America back on Earth. He dismissed the thought soon after since he assumed that such a coincidence would a bit ridiculous.