A rectangular room is 3 times as long as it is wide, and its perimeter is 56 meters.

Discussion in 'Calculator Requests' started by math_celebrity, Feb 10, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A rectangular room is 3 times as long as it is wide, and its perimeter is 56 meters.

    We're given the following:
    • l = 3w
    We know the Perimeter (P) of a rectangle is:
    P = 2l + 2w

    Substituting l = 3w and P = 56 into this equation, we get:
    2(3w) + 2w = 56

    Multiplying through, we get:
    6w + 2w = 56
    (6 +2)w = 56
    8w = 56

    Typing this equation into our search engine, we get:
    w = 7

    Substitute w = 7 into l = 3w, we get:
    l = 3(7)
    l = 21
     

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