A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 12 feet. The width of the floor is 4 feet less than the length. It will have a stage and a closet, and the remaining area of the floor will be painted. The dimensions are shown in the diagram:

rectangle with length of x ft and width of x minus 4 ft, right triangle inside labeled stage with height of x minus 4 ft and base of 6 ft, rectangle inside labeled closet with length of 7 ft and width of 2 ft, the rest of the rectangle is labeled floor

Let A represent the painted area, in square feet, of the floor. Choose the correct equation to solve for area (A).

A = x(x − 4) + 0.5(6)(x − 4) + 2(7)
A = x(x − 4) − 0.5(6)(x − 4) − 2(7)
A = x(x − 4) − (6)(x − 4) − 2(7)
A = x(x − 4) + (6)(x − 4) + 2(7)