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, Sep 30, 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

    Given l = length and w = width, The perimeter of a rectangle is 2l + 2w, 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 math engine and we get:
    w = 7

    To solve for l, we substitute w = 7 into equation (1):
    l = 3(7)
    l = 21
     

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