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Math

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A roll of carpet 9 feet wide is 30 feet longer than a roll of carpet 15 feet wide. Both rolls have the same area. Find the dimensions of each.

  • Math -

    Let the length of the shorter rug be l feet
    then the length of the longer rug is l+30 feet
    Doesn't it say that
    area of shorter = area of longer ?
    15l = 9(l+30)
    15l = 9l + 270
    6l = 270
    l = 45
    so the two rugs are 15 by 45 and 9 by 75

    check: 15x45 = 675
    9x75 = 675

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