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Length of Golden Rectangle Formula

GoLength of Golden Rectangle given Diagonal Formula

GoLength of Golden Rectangle given Perimeter Formula

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The Length of Golden Rectangle is the length of the longest edge of the Golden Rectangle. Check FAQs

l = [phi] \cdot b

l - Length of Golden Rectangle?b - Breadth of Golden Rectangle?[phi] - Golden ratio?

Length of Golden Rectangle Example

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Here is how the Length of Golden Rectangle equation looks like with Values.

Here is how the Length of Golden Rectangle equation looks like with Units.

Here is how the Length of Golden Rectangle equation looks like.

9.7082 = 1.618 \cdot 6

9.7082m = 1.618 \cdot 6m

9.7082 = 1.618 \cdot 6

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Length of Golden Rectangle Solution

Follow our step by step solution on how to calculate Length of Golden Rectangle?

FIRST Step Consider the formula

l = [phi] \cdot b

Next Step Substitute values of Variables

∴

l = [phi] \cdot 6m

Next Step Substitute values of Constants

∴

l = 1.618 \cdot 6m

Next Step Prepare to Evaluate

∴

l = 1.618 \cdot 6

Next Step Evaluate

∴

l = 9.70820393249937m

LAST Step Rounding Answer

∴

l = 9.7082m

Length of Golden Rectangle Formula Elements

Variables

Constants

Length of Golden Rectangle

The Length of Golden Rectangle is the length of the longest edge of the Golden Rectangle.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Golden Rectangle

Breadth of Golden Rectangle

The Breadth of Golden Rectangle is the length of the shortest edge of the Golden Rectangle.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Breadth of Golden Rectangle

Golden ratio

The Golden ratio occurs when the ratio of two numbers is the same as the ratio of their sum to the larger of the two numbers.

Symbol: [phi]

Value: 1.61803398874989484820458683436563811

Other Formulas to find Length of Golden Rectangle

Go Length of Golden Rectangle given Diagonal

l = \frac{[phi]}{\sqrt{1 + {[phi]}^{2}}} \cdot d

Go Length of Golden Rectangle given Perimeter

l = \frac{[phi]}{2 \cdot (1 + [phi])} \cdot P

Go Length of Golden Rectangle given Area

l = \sqrt{[phi] \cdot A}

How to Evaluate Length of Golden Rectangle?

Length of Golden Rectangle evaluator uses Length of Golden Rectangle = [phi]*Breadth of Golden Rectangle to evaluate the Length of Golden Rectangle, The Length of Golden Rectangle formula is defined as the length of the longest edge of the Golden Rectangle. Length of Golden Rectangle is denoted by l symbol.

How to evaluate Length of Golden Rectangle using this online evaluator? To use this online evaluator for Length of Golden Rectangle, enter Breadth of Golden Rectangle (b) and hit the calculate button.

FAQs on Length of Golden Rectangle

What is the formula to find Length of Golden Rectangle?

The formula of Length of Golden Rectangle is expressed as Length of Golden Rectangle = [phi]*Breadth of Golden Rectangle. Here is an example- 9.708204 = [phi]*6.

How to calculate Length of Golden Rectangle?

With Breadth of Golden Rectangle (b) we can find Length of Golden Rectangle using the formula - Length of Golden Rectangle = [phi]*Breadth of Golden Rectangle. This formula also uses Golden ratio constant(s).

What are the other ways to Calculate Length of Golden Rectangle?

Here are the different ways to Calculate Length of Golden Rectangle-

Length of Golden Rectangle=[phi]/(sqrt(1+[phi]^2))*Diagonal of Golden Rectangle
Length of Golden Rectangle=[phi]/(2*(1+[phi]))*Perimeter of Golden Rectangle
Length of Golden Rectangle=sqrt([phi]*Area of Golden Rectangle)

Can the Length of Golden Rectangle be negative?

No, the Length of Golden Rectangle, measured in Length cannot be negative.

Which unit is used to measure Length of Golden Rectangle?

Length of Golden Rectangle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Golden Rectangle can be measured.

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