Math Calculators

Golden Rectangle Calculator

Calculate the long side and area of a golden rectangle from its short side, using the golden ratio — set the short side in the unit of your choice.

Long side —

Area —

About the Golden Rectangle Calculator

A golden rectangle has side lengths in the golden ratio, φ ≈ 1.618. This proportion is considered aesthetically pleasing and appears throughout classical art, architecture and design. The short side, long side and area each have their own independent unit selector.

Formula: Long Side = Short Side × φ, where φ = (1 + √5) ÷ 2 · Area = Short Side × Long Side

Removing a square from a golden rectangle always leaves a smaller golden rectangle — a self-similar property connected to the Fibonacci spiral.