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25 November, 07:40

The perimeter of a rectangle is 30 inches. Its length is three times its width. Write an equation to represent the problem

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  1. 25 November, 08:38
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    Eqn of the problem: 2 (3x + x) = 30

    Solution: Width = 3.75 inches and Length = 11.25 inches

    Step-by-step explanation:

    We are given;

    The perimeter of the rectangle as 30 inches Length is 3 times its width

    We are required to represent the equation of the problem;

    Assuming the width = x inches, then; Length = 3x inches

    The formula for getting the perimeter of a rectangle is;

    Perimeter = 2 (l+w)

    In this case;

    2 (3x + x) = 30

    Therefore;

    The equation for the problem is;

    2 (3x + x) = 30

    8x=30

    Thus;

    8x = 30

    x = 3.75 inches

    3x = 11.25 inches

    Hence, the with is 3.75 inches while the length is 11.25 inches
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