In a rectangle, having been given the diagonal *d* and perimeter *p*, find the sides.

*Elements of Geometry*, Benjamin Greenleaf, 1869

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The answer is: the sides would be \(\dfrac{p}{4}+\sqrt{\dfrac{d^2}{2}-\dfrac{p^2}{16}}\) and \(\dfrac{p}{4}-\sqrt{\dfrac{d^2}{2}-\dfrac{p^2}{16}}\)