Explore a rectangle whose side ratio matches the golden ratio.
Last updated: June 2026 | By Patchworkr Team
Enter a width and the calculator computes the matching height, ratio, and area.
The golden rectangle keeps width divided by height close to phi.
Height = width / phi, and area = width x height.
Width = 100.
1. phi = 1.6180...
2. Height = 100 / phi
3. Area = width x height
Final answer: height about 61.80, area about 6180.34
Can width be zero?
No. This calculator requires a positive width.
What if I want height first?
Use width = height x phi to convert it back to the same golden ratio.
Is the ratio exact?
It is displayed approximately because phi is irrational.
Why show the area?
Area gives a quick sense of scale for the resulting rectangle.
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