Calculate dimensions of a rectangle where the side lengths are in the golden ratio (φ).
Inputs
Golden Rectangle Visualization
ratio ≈ 1.618
Golden Dimensions
10.00
Longer Side (a)
Calculated side lengths based on the golden ratio φ ≈ 1.618.
Shorter Side (b)6.18
Total Area61.80
Perimeter32.36
What is a Golden Rectangle?
A golden rectangle is a rectangle whose side lengths are in the golden ratio, which is approximately 1:1.618. It is said to be one of the most aesthetically pleasing shapes in geometry and is found in art, architecture, and nature.
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Pro Tips
The golden ratio is exactly (1 + √5) / 2.
If you remove a square from a golden rectangle, the remaining part is another golden rectangle.
The Parthenon in Athens is often cited as having proportions based on the golden rectangle.
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Fun Facts
"Many historical buildings and famous paintings (like the Mona Lisa) are believed to incorporate golden rectangles."
"Modern credit cards are roughly the shape of a golden rectangle (ID-1 format)."
"Le Corbusier used the golden rectangle as the basis of his Modulor system for architecture."
