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March 24, 2017

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The expression 2(l+w) may be used to find the perimeter of a rectangle. What are the length and width of a rectangle if the area is 13 1/2 square units and the length of one side is 1/5 the measure of the perimeter?

  • Algebra I - ,

    "the length of one side is 1/5 the measure of the perimeter" --> l = (1/5(2(l+w))
    5l = 2l + 2w
    3l = 2w
    l = 2w/3

    lw = 13.5
    (2w/3)(w) = 13.5
    w^2 = 20.25
    w = sqrt(20.25) = 4.5
    then l = 3

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