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Mrs. Thomas is building a deck for her mountain cabin, where she plans to host summer cookouts for family and friends. Her cabin covers a rectangular area that is $40$ feet by $30$ feet. The deck will go around two sides of the cabin and be the same width on both sides.$\newline$The total area of the cabin and deck in square feet can be modeled by the expression $(30 + x)(40 + x)$, where $x$ is the width of the deck in feet. This expression can also be written in the form $x^2 + 70x + 1,200$. What does the quantity $x^2 + 70x$ represent in the expression?$\newline$Choices:$\newline$(A)the area of the deck in square feet$\newline$(B)the length of the cabin and deck together in feet$\newline$(C)the area of the cabin in square feet$\newline$(D)the perimeter around the outside of the cabin and deck in feet