Properties

Golden Rectangle

Rectangle in which the ratio of the measure a of the largest side to the measure b of the smallest side is the same as between the half-perimeter (a + b) and the measure a of the large side.
Consider this rectangle:

rectangle_or

Therefore: [latex]\dfrac{a}{b}[/latex] = [latex]\dfrac{a+b}{a}[/latex]
  • The value of the golden ratio is about 1.618 and we write: [latex]\dfrac{a}{b}[/latex] ≈ 1.618.
  • A golden rectangle is a rectangle in which the adjacent sides are in the ratio [latex]\dfrac{\sqrt{5}+1}{2}[/latex].

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