Venture Properties is looking to design a new food-truck park. The dimensions of the rectangular park will be 110 feet by 80 feet. The parking lot will be along two sides of the park, and it will be the same width on both sides.The total area of the park and parking lot together in square feet can be modeled by the expression (x+80)(x+110), where x is the width of the parking lot in feet.What does the quantity x+110 represent in the expression?(A)the length of the park and parking lot together in feet(B)the perimeter around the outside of the park and parking lot in feet(C)the area of the parking lot in square feet(D)the total area of the park and parking lot together in square feet
Q. Venture Properties is looking to design a new food-truck park. The dimensions of the rectangular park will be 110 feet by 80 feet. The parking lot will be along two sides of the park, and it will be the same width on both sides.The total area of the park and parking lot together in square feet can be modeled by the expression (x+80)(x+110), where x is the width of the parking lot in feet.What does the quantity x+110 represent in the expression?(A)the length of the park and parking lot together in feet(B)the perimeter around the outside of the park and parking lot in feet(C)the area of the parking lot in square feet(D)the total area of the park and parking lot together in square feet
Total Area Expression: The expression for the total area is x + 80)(x + 110)\. To understand what \$x + 110)\ represents, let's look at the dimensions given for the park: \${110} feet by 80 feet.
Width Calculation: The width of the parking lot is x feet on both sides. So, the total width of the park including the parking lot on one side is 80+x feet.
Length Calculation: Similarly, the length of the park is 110 feet, and the parking lot will add x feet to this length on one side. So, the total length of the park including the parking lot on one side is 110+x feet.
Total Length Representation: Therefore, x+110 represents the total length of the park and parking lot together in feet.
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