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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.$\newline$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.$\newline$What does the quantity $2x - 2$ represent in the expression?$\newline$Choices:$\newline$(A)the area of the border in square feet$\newline$(B)the perimeter around the interior pattern of the rug in feet$\newline$(C)the area of the interior pattern of the rug in square feet$\newline$(D)the length of the interior pattern of the rug in feet