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Weber's Windows installs custom-made windows in new homes. For one home, they will install a window in a wall opening that has a height of 4040 inches and a width of 2828 inches. A wood frame will go around the window, with an equal width on all sides.\newlineThe area of the window inside the frame in square inches can be modeled by the expression (40−2x)(28−2x)(40 - 2x)(28 - 2x), where xx is the width of the frame in inches.\newlineWhat does the quantity 40−2x40 - 2x represent in the expression?\newlineChoices:\newline(A)the height of the window inside the frame in inches\newline(B)the perimeter around the window inside the frame in inches\newline(C)the area of the frame in square inches\newline(D)the area of the window inside the frame in square inches

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Q. Weber's Windows installs custom-made windows in new homes. For one home, they will install a window in a wall opening that has a height of 4040 inches and a width of 2828 inches. A wood frame will go around the window, with an equal width on all sides.\newlineThe area of the window inside the frame in square inches can be modeled by the expression (40−2x)(28−2x)(40 - 2x)(28 - 2x), where xx is the width of the frame in inches.\newlineWhat does the quantity 40−2x40 - 2x represent in the expression?\newlineChoices:\newline(A)the height of the window inside the frame in inches\newline(B)the perimeter around the window inside the frame in inches\newline(C)the area of the frame in square inches\newline(D)the area of the window inside the frame in square inches
  1. Area Expression: The expression for the area of the window inside the frame is (40−2x)(28−2x)(40 - 2x)(28 - 2x), where xx is the width of the frame.
  2. Total Height Explanation: To find the meaning of 40−2x40 - 2x, we need to understand that the total height of the opening is 4040 inches, and the frame takes up some of this height on both the top and bottom.
  3. Height Calculation: Since the frame has an equal width on all sides, we subtract 2x2x from the total height of 4040 inches to get the height of the window inside the frame.
  4. Height Representation: Therefore, 40−2x40 - 2x represents the height of the window inside the frame in inches.

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