A rectangular room is 4 times as long as it is wide, and its perimeter is 80 meters. Find the dimens

Discussion in 'Calculator Requests' started by math_celebrity, Apr 17, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A rectangular room is 4 times as long as it is wide, and its perimeter is 80 meters. Find the dimension of the room

    The perimeter of a rectangle is P = 2l + 2w. We're given two equations:
    1. l = 4w
    2. 2l + 2w = 80. <-- Since perimeter is 80
    Plug equation (1) into equation (2) for l:
    2(4w) + 2w = 80
    8w + 2w = 80

    Plugging this equation into our search engine, we get:
    w = 10

    To get l, we plug w = 10 into equation (1):
    l = 4(10)
    l = 40
     

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