Golden Rectangle Calculator

Solve a golden rectangle from one side using the exact golden ratio.

Last updated: June 2026 | By Patchworkr Team

Length

Math check: length / width = phi, where phi = (1 + sqrt(5)) / 2

Result

Enter one side length to compute the rectangle.

Formula

phi = (1 + sqrt(5)) / 2

length = width x phi

width = length / phi

If the length is 10, the width is 10 / phi = 6.18034.

The ratio length / width is about 1.618034, which is the golden ratio.

This calculator uses the standard golden ratio definition and keeps the relationship exact.

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