# Golden Rectangle

## 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:

Therefore: $$\dfrac{a}{b}$$ = $$\dfrac{a+b}{a}$$

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