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What is the ratio of dimensions of this special rectangle ?

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What should be the ratio of the dimensions of a rectangle such that when you take off of it a largest possible square you end up with a rectangle with the same aspect ratio as that of the original ?

posted Apr 6, 2017 by Tejas Naik

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1 Answer

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Best answer

This involves solving for the Golden Ratio which is .618:1.
Thus the rectangle would be 1 unit long by .618 units in height. And of course the square would be .618 x .618.

See calculations below, for solving the ratio of the Golden Section which is transformed into a quadratic equation which is then solved by the quadratic formula:

enter image description here

answer Apr 6, 2017 by George Davros

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