A rectangular photograph is mounted on a square piece of cardboard whose sides have length x. The border that surrounds the photo on each side and 4 inches on both the top and
Bottom.
Which of the following expressions represents the area of area photograph? Check all that apply.
x^2
(x + 8)(x + 6)
(x - 8)(x - 6)
x^2 + 48
x^2 - 48
x^2 +14x + 48
x^2 - 14x + 48
The area of the photograph is equal to the area of the square cardboard minus the area of the border.
The area of the square cardboard is x^2.
The length of the top and bottom borders is 4 inches each, so the total length of the top and bottom borders is 4 + 4 = 8 inches. The width of the top and bottom borders is also 4 inches each, so the total width of the top and bottom borders is 4 + 4 = 8 inches.
Therefore, the area of the border is 8 * 8 = 64 square inches.
The area of the photograph is x^2 - 64.
Therefore, the expressions that represent the area of the photograph are:
x^2
(x - 8)(x - 6)
x^2 - 48