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Tim has decided to add a wraparound porch to his beach cottage so that he can spend more time outside. His cottage is $45$ feet long and $25$ feet wide. The porch will go around three sides of the cottage and be the same width on all sides.$\newline$The total area of the cottage and porch together in square feet can be modeled by the expression $(45 + 2x)(25 + x)$, where $x$ is the width of the porch in feet. This expression can be also written in the form $2x^2 + 95x + 1,125$.$\newline$What does the quantity $2x^2 + 95x$ represent in the expression?$\newline$Choices:$\newline$(A)the perimeter around the outside of the porch in feet$\newline$(B)the area of the cottage in square feet$\newline$(C)the area of the porch in square feet$\newline$(D)the length of the cottage and porch together in feet