The perimeter of a garden is 70 meters. Find its actual dimensions if its length is 5 meters longer

Discussion in 'Calculator Requests' started by math_celebrity, Dec 8, 2018.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    The perimeter of a garden is 70 meters. Find its actual dimensions if its length is 5 meters longer than twice its width.

    Let w be the width, and l be the length. We have:
    P = l + w. Since P = 70, we have:
    1. l + w = 70
    2. l = 2w + 5

    Plug (2) into (1)
    2w + 5 + w = 70

    Group like terms:
    3w + 5 = 70

    Using our equation calculator, we get w = 21.66667. Which means length is:
    l = 2(21.6667) + 5
    l = 43.33333 + 5
    l = 48.3333
     

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