The perimeter of a rectangular outdoor patio is 54 ft. The length is 3 ft greater than the width. Wh

Discussion in 'Calculator Requests' started by math_celebrity, May 18, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    The perimeter of a rectangular outdoor patio is 54 ft. The length is 3 ft greater than the width. What are the dimensions of the patio?

    Perimeter of a rectangle is:
    P = 2l + 2w

    We're given l = w + 3 and P = 54. So plug this into our perimeter formula:
    54= 2(w + 3) + 2w
    54 = 2w + 6 + 2w

    Combine like terms:
    4w + 6 = 54

    Typing this equation into our search engine, we get:
    w = 12

    Plug this into our l = w + 3 formula:
    l = 12 + 3
    l = 15
     

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