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

Discussion in 'Calculator Requests' started by math_celebrity, Aug 31, 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. Find the dimensions of the room.

    We're given two items:
    • l = 3w
    • P = 56
    We know the perimeter of a rectangle is:
    2l + 2w = P

    We plug in the given values l = 3w and P = 56 to get:
    2(3w) + 2w = 56
    6w + 2w = 56

    To solve for w, we plug this equation into our search engine and we get:
    w = 7

    To solve for l, we plug in w = 7 that we just found into the given equation l = 3w:
    l = 3(7)
    l = 21

    So our dimensions length (l) and width (w) are:
    (l, w) = (21, 7)
     

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