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Mr. Randolph is putting the finishing touches on his backyard flower bed. The flower bed is $25$ feet long and $6$ feet wide, and it is bordered on two sides by the backyard fence. Mr. Randolph plans to put a pathway around the other two sides of the flower bed that is the same width on both sides.$\newline$The total area of the flower bed and pathway in square feet can be modeled by the expression $(x + 25)(x + 6)$, where $x$ is the width of the pathway in feet. This expression can also be written in the form $x^2 + 31x + 150$. What does the quantity $x^2 + 31x$ represent in the expression?$\newline$Choices:$\newline$(A)the area of the flower bed in square feet$\newline$(B)the area of the pathway in square feet$\newline$(C)the perimeter around the outside of the flower bed and pathway in feet$\newline$(D)the length of the flower bed and pathway together in feet