algebra

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the length of a rectangle is 25cm twice its width the perimeter of the table must be less than 335 cm.find the maximum dimensions of the table if each dimension is an interger

  • algebra -

    width --- x
    length -- 2x

    2x + 2(2x) < 335
    6x < 335
    x < 55.8

    but we can't go over 335 and x must be an integer, so
    x = 55

    width = 55
    length = 110

    check:
    if w=55, l = 110 , Perimeter = 330 < 335
    if w = 56, l = 112, Perimeter = 336 > 335 , no good

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