Hector, a rug maker, is working on a custom rectangular rug for a client's living room. To fit the room, the rug needs to be 2 times as long as it is wide. In addition to the interior pattern, which Hector will design, the rug will have a floral border that is 1 foot wide on each side. The area of the interior pattern of the rug in square feet can be modeled by the expression (2x–2)(x–2), where x is the width of the entire rug in feet. What does the quantity 2x–2 represent in the expression?