A rectangular photograph is mounted on a square piece of cardboard with sides have a link ex the border that surrounds the photo is 3 inches

Question

A rectangular photograph is mounted on a square piece of cardboard with sides have a link ex the border that surrounds the photo is 3 inches on each side and 4 inches on both the top and bottom which of the following expressions represents the area of the photograph check all that apply

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Lyla 1 week 2021-09-11T02:23:08+00:00 1 Answer 0

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    2021-09-11T02:24:27+00:00

    Answer:

    The ares in factorised form is C. (x-8)(x-6)

    When expanded it is G. x^2-14x+48

    Step-by-step explanation:

    The rectangular photo is mounted on a piece of board whose sides have length x. The border that surrounds the photo is 3 inches on each side and 4 inches on both the top and the bottom.

    Area of rectangle  is length × breadth

    Length of rectangle (x – 4 – 4) = (x – 8) inches

    Breadth of rectangle (x -3 – 3) = (x -6) inches

    Thus, area of photograph  = (x – 8)(x -6) inches².

    Expanding it by opening the bracket

    x(x-6)-8(x-6)= x^2-6x-8x+48=x^2-14x+48

    Thus; C and G is correct

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