algebra 2

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The length and width of a rectangle are in the ratio of 5:12. If the rectangle has an area of 240 square centimeters, what is the length, in centimeters, of its diagonal?

  • algebra 2 -

    Length / Width = 5 / 12.
    Width = X CM, Length = 5/12x cm.
    A = X(5/12X) = 240 cm^2.
    5/12(X^2) = 240
    Multiply both sides by 12:
    X^2 = 576
    X = 24 cm = Width
    5/12X = 5/12(24) = 10 cm = Length

  • algebra 2 -

    D^2 = W^2 + L^2 = 100 + 576 = 676
    D = sqrt(675) = 26 cm = Diagonal.

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