Golden Rectangle Calculator

Find the dimensions of a golden rectangle from one side.

Long side 16.18

Area 161.8

Formula: length = width × φ, φ ≈ 1.618

Step-by-step with your numbers:

1. Values used:

2. Short side (width) = 10

4. Long side = 16.18

5. Area = 161.8

Did we solve your problem today?

A golden rectangle has its sides in the golden ratio φ, a proportion found throughout art and nature.

The math behind it

The long side is the short side times φ = (1 + √5)/2 ≈ 1.618. Removing a square leaves a smaller golden rectangle.

Width 10 → length 16.18.

Why is it special?

It is self-similar — cutting off a square leaves another golden rectangle, repeating forever.