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10 September, 06:24

A sidewalk has an area that can be represented bt the expression (8x+24) feet. List 3 possible lenghts and widths of the sidewalk

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  1. 10 September, 10:11
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    Length = 8 feet and Width = (x+3) feet

    Length = 4 feet and Width = (2x+6) feet

    Length = 2 feet and Width = (4x+12) feet

    Step-by-step explanation:

    We are given that,

    Area of the rectangular sidewalk = (8x+24) feet²

    Since, area of a rectangle = Length * Width

    It is required to find three possible lengths and widths.

    As, we can factor the given area in the following ways,

    1. Area = (8x+24) = 8 * (x+3)

    2. Area = (8x+24) = 4 * (2x+6)

    3. Area = (8x+24) = 2 * (4x+12)

    Thus, the three possible lengths and widths are given by,

    1. Length = 8 feet and Width = (x+3) feet.

    2. Length = 4 feet and Width = (2x+6) feet.

    3. Length = 2 feet and Width = (4x+12) feet.
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