The perimeter of a college basketball court is 102 meters and the length is twice as long as the wid

Discussion in 'Calculator Requests' started by math_celebrity, Jun 27, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    The perimeter of a college basketball court is 102 meters and the length is twice as long as the width. What are the length and width?

    A basketball court is a rectangle. The perimeter P is:
    P = 2l + 2w

    We're also given l = 2w and P = 102. Plug these into the perimeter formula:
    2(2w) + 2w = 102
    4w + 2w = 102
    6w = 102

    Typing this equation into our calculator, we get:
    w = 17

    Plug this into the l = 2w formula, we get:
    l = 2(17)
    l = 34
     

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