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March 28, 2017

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The area of a triangle varies jointly as its base and altitude. By what percent will the area change if the base is increased by 15% and the altitude decreased by 25%?

  • Algebra II - ,

    A1 = 0.5bh,

    A2 = 1.15*0.5b*1.25h = 0.71875bh.

    A2 / A1 = 0.71875bh / 0.5bh = 1.4375 =
    143.75%.

    % Change = 143.75 - 100 = 43.75.

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