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March 30, 2017

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The lengths of two opposing sides of a square are decreased by forty percent. By approximately what percent would the lengths of the other two sides have to be INCREASED so that the area of the new figure ( a rectangle) is the same as the area of the original square?

  • Mathematics - ,

    Let a = the original square side length.
    Reducing it by 40% leaves two opposing sides of the rectangle with length 0.6a. Let the other two sides' length be x

    0.6a * x = a^2

    x = a/0.6 = 5/3 * a

    The other two side lengths must be inceased by 66.7% to keep the area the same.

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