**Golden Rectangle Calculator**

This handy calculator will determine the length of either side of the golden rectangle as well as the area, if the other side is known.

**What is the Golden Rectangle?**

Seen throughout architecture and nature, the golden rectangle is a rectangle whose sides are in what is called the “golden ratio”.

Recall that a ratio is the relationship between two quantities, represented generally as a fraction. If “a” is the width and “a + b” the length of the rectangle, then the golden ratio is \(\frac{a+b}{a}=\frac{a}{b}\). This is what is known as a proportion, which is two ratios set equal to each other.

**How to Calculate the Golden Rectangle**

To calculate the area of the golden rectangle by hand, simply take the width “a” and multiply by the length “a + b”.

A = a(a + b)

The calculator will quickly check your work for you.

What if the scenario gives you the area but you need to calculate a side? Suppose you know *a* + *b* but not *a*? Simply divide the area by (*a* + *b*) to get the missing side, *a*. You can also get *b* by \(\frac{area}{a}-a\).

Instead of working everything manually, give the golden rectangle calculator a try for quick and easy results!