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A rectangular swimming pool is 7 meters longer then it is wide. It is surrounded by a concrete walkway 1.5 meters wide. The area of the walkway is 120 meters squared. What are the dimensions of the pool?

  • Math -

    width of pool ---> x
    length of pool --> x+7
    area of pool = x(x+7)

    width of whole pool area = x+3
    length of whole pool area = x+7+3 = x+10

    area of pool area = (x+3)(x+10)

    area of concrete walkway = area of whole thing - area of pool
    120 = (x+3)(x+10) - x(x+7)

    (you should get x = 15)

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