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29 November, 16:22

the length of a certain rectangle is 5cm more than 3 times its width. if the perimeter of the rectangle is 74 what is the length and width

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  1. 29 November, 17:46
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    The perimeter of a rectangle is the sum of all four sides of the rectangle.

    (Perimeter = 2width + 2length)

    Let's assume the width of the rectangle to be x.

    For length, the statement says that is equals to 3 times the width ( = 3x) and 5cm more meaning 5cm would be added to 3 times the width.

    Width = x

    Length = 3x + 5

    Perimeter = 2x + 2 (3x+5)

    74 = 2x + (6x+10)

    74 = 8x + 10

    solve for x

    8x = 74 - 10

    x = 64/8, x=8

    Width = 8

    length = 3 (8) + 5 = 29
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