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10 March, 07:39

The perimeter of the rectangular playing field is 320 yards. the length of the field is 4 yards less than triple the width. what are the dimensions of the playing field

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  1. 10 March, 10:50
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    Let the width be X

    Then the length is X + 70

    The perimeter is the sum of all sides

    There are 2 widths (left side and right side) and 2 lengths (top and bottom)

    Perimeter = 2 * width + 2 * length

    Perimeter = 2 * X + 2 * (X+70)

    Perimeter: 2 X + 2 X + 140 = 380

    4 X = 380-140

    4 X = 240

    X = 240 / 4

    X = 60

    Width = 60 - the smaller of two sides

    Length = X + 70 = 60 + 70 = 130 - the larger of two sides

    Check:

    2 * 60 + 2 * 130 = 380
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