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3 March, 23:22

The length of the batter's box on a softball field is 1 t more than twice the width. The ares of the batter's box is 55 ft^2. Find the length and width of the rectangular batter's box.

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  1. 4 March, 03:00
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    Answer:length = 11 feet

    Width = 5 feet

    Step-by-step explanation:

    Let L represent the length of the rectangular box.

    Let W represent the width of the rectangular box.

    The formula for determining the area of a rectangle is expressed as

    Area = length * width

    The length of the batter's box on a softball field is 1 ft more than twice the width. It means that

    L = 2W + 1

    The areas of the batter's box is 55 ft^2. It means that

    LW = 55

    Substituting L = 2W + 1 into LW = 55, it becomes

    W (2W + 1) = 55

    2W² + W = 55

    2W² + W - 55 = 0

    2W² + 11W - 10W - 55 = 0

    W (2W + 11) - 5 (2W + 11) = 0

    (W - 5) = 0 or 2W + 11 = 0

    W = 5 or W = - 11/2

    The width cannot be negative, hence, it is 5 ft

    L = 2W + 1 = 2 * 5 + 1 = 10 + 1

    L = 11 feet
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