Final answer:
Route 1 is the U.S. highway that was extended to Key West in 1938, completing a road all the way back to Maine.
Step-by-step explanation:
The highway that was extended to Key West in 1938, completing a road all the way back to Maine, is Route 1. Route 1 is the longest north-south highway in the United States, stretching from Key West, Florida to Fort Kent, Maine. It is a major highway that connects many cities and towns along the East Coast.