Fernando, an interior decorator, is designing an entryway for a client's new home. The entryway will include a set of double doors and hardwood moulding. The moulding will be an equal width around the sides and top of the double doors, which will be 60 inches wide and 80 inches tall.

The total area of the double doors and moulding in square inches can be modeled by the expression (2x+60)(x+80), where x is the width of the moulding in inches. This expression can also be written in the form 2x2+220x+4,800.
What does the quantity 2x2+220x represent in the expression?