math

posted by Isaac

A square of lawn is surrounded by a path 0.5m wide,,the area of the lawn is 23m^2 bigger than that of the area of the path ,,find the side of the lawn.

  1. Steve

    If the lawn has side x meters, then

    lawn area: x^2
    total area: (x+1)^2
    path area: (x+1)^2-x^2 = 2x+1

    So, we have

    x^2 = 2x+1 + 23
    Now just find x.

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