The length of a rectangle is equal to triple the width. Find the length of the rectangle if the peri

Discussion in 'Calculator Requests' started by math_celebrity, Jun 9, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    The length of a rectangle is equal to triple the width. Find the length of the rectangle if the perimeter is 80 inches.

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

    We're given two equations:
    1. l = 3w
    2. 2l + 2w = 80
    We substitute equation 1 into equation 2 for l:
    2(3w) + 2w = 80
    6w + 2w = 80

    To solve this equation for w, we type it in our search engine and we get:
    w = 10

    To solve for the length (l), we substitute w = 10 into equation 1 above:
    l = 3(10)
    l = 30
     

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