When the side of a square is doubled in length, its area increases by 432 square inches. What is the

Discussion in 'Calculator Requests' started by math_celebrity, Jan 19, 2023.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    When the side of a square is doubled in length, its area increases by 432 square inches. What is the size of the original square?

    Original square side length is s
    Area = s^2

    Double the side lengths to 2s
    New area = (2s)^2 = 4s^2

    Setup the difference relation:
    4s^2 - s^2 = 432
    3s^2 = 432

    Divide each side by 3:
    3s^2/3 = 432/3
    s^2 = 144
    s = 12
     

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