Allan built an additional room onto his house. The length of the room is 3 times the width. The peri

Discussion in 'Calculator Requests' started by math_celebrity, May 5, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Allan built an additional room onto his house. The length of the room is 3 times the width. The perimeter of the room is 60 feet. What is the length of the room

    A room is a rectangle. We know the perimeter of a rectangle is:
    P = 2l + 2w

    We're given two equations:
    1. l = 3w
    2. P = 60
    Plug (1) and (2) into our rectangle perimeter formula:
    2(3w) + w = 60
    6w + w = 60

    Type this equation into our search engine to solve for w:
    w = 8.5714

    Now plug w = 8.5714 into equation 1 to solve for l:
    l = 3(8.5714)
    l = 25.7142
     

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