The only carpeted tiles I've seen had the carpet cut and glued onto foam floor tiles. I wouldn't do that myself, but it would be a nice way to get colors you prefer. I'm not sure what I would do with a cartoon color like the one in the OP.
I have seen 1' tiles with terrain on them used for gaming. It looks like a nice way to make a geomorphic layout. Here's the set War Artisan made for this purpose:
I've considered doing this myself, but I'm too heavily invested in cloths and bags/boxes of pieces to go on them.
I did experiment with making a set of these foam floor tiles with a hex grid, but I couldn't find a way to avoid at least one distorted row per tile (hexes don't fit into square dimensions). Last year I ended up springing for a monster pile of Hexon instead.
Do tiles provide any advantage over a terrain mat?
Foam floor tiles with interlocking edges are
extremely useful in naval gaming – there is no more Edge of the World™. You just peel up the unused row on the other side, scoot over the whole interconnected mat, and lay down a new row on the near edge. I use this all the time for steam-era naval gaming where ships tend to move quickly and the ocean should be open to the horizon. My naval tiles look almost exactly like
these by War Artisan (because I followed
his tutorial to make them):
I just made myself a new set of 32x 2'x2' tiles, and it basically took one weekend to complete. They're pretty easy to make. The hardest part was picking out the paint colors. I'll be running Fri and Sat night naval games on them at Enfilade, if anyone wants to see them in action.
FWIW, War Artisan made a second set with nicer art (wave patterns, better blending of the point-to-point dots, etc.):
I would
never have chosen such a light blue for a seascape, but these are beautiful in person.