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One bag of mulch will cover 18 ft.² if a landscape architect wants to lay mulch on a border of plants around three sides of a 6' x 10' shed how wide can the border be

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  1. 6 July, 00:15
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    The width of the boarder is 0.83 ft

    Step-by-step explanation:

    To provide an answer to the question, we make the following assumptions;

    Amount of mulch available for laying = 1 bag

    Pattern of laying mulch = Rectangular pattern

    Therefore where we have three sides of a shed to lay the mulch, we have

    18 ft² = 2 * (6+x) * x + 10*x

    ∴ 18 = 12·x+2·x² + 10·x

    or 2·x² + 20·x - 18 = 0

    Solving the above quadratic equation, we have

    x = - 5 + √34 or x = - (5 + √34)

    Since we are dealing with the width of the border which is always positive, we have

    The width of the boarder = - 5 + √34 ft = 0.83 ft.
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