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, Jan 5, 2021.

  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 dimension of the room.

    We're given:
    l = 3w

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

    With P = 56, we have:
    1. l = 3w
    2. 2l + 2w = 56
    Substitute equation (1) into equation (2) for l:
    2(3w) + 2w = 56
    6w + 2w = 56

    To solve this equation for w, we type it in our search engine and we get:
    w = 7

    Now we plug w = 7 into equation (1) above to solve for l:
    l = 3(7)
    l = 21
     

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