What is the agreement called that compromised between the two sides Why was this possible?

The agreement that compromised between the two sides is often referred to as the "Great Compromise" or "Connecticut Compromise." This was possible due to the need for a balanced representation in the legislature, as larger states favored representation based on population while smaller states sought equal representation. The compromise established a bicameral legislature, with the House of Representatives based on population and the Senate granting equal representation to each state, thus addressing the concerns of both sides.