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Perimeter of Golden Rectangle Formula

GoPerimeter of Golden Rectangle given Breadth Formula

GoPerimeter of Golden Rectangle given Diagonal Formula

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The Perimeter of Golden Rectangle is the total length of all the boundary lines of the Golden Rectangle. Check FAQs

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

P - Perimeter of Golden Rectangle?l - Length of Golden Rectangle?[phi] - Golden ratio?

Perimeter of Golden Rectangle Example

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

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

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

32.3607 = 2 \cdot (1 + \frac{1}{1.618}) \cdot 10

32.3607m = 2 \cdot (1 + \frac{1}{1.618}) \cdot 10m

32.3607 = 2 \cdot (1 + \frac{1}{1.618}) \cdot 10

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Perimeter of Golden Rectangle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 2 \cdot (1 + \frac{1}{[phi]}) \cdot 10m

Next Step Substitute values of Constants

∴

P = 2 \cdot (1 + \frac{1}{1.618}) \cdot 10m

Next Step Prepare to Evaluate

∴

P = 2 \cdot (1 + \frac{1}{1.618}) \cdot 10

Next Step Evaluate

∴

P = 32.3606797749979m

LAST Step Rounding Answer

∴

P = 32.3607m

Perimeter of Golden Rectangle Formula Elements

Variables

Constants

Perimeter of Golden Rectangle

The Perimeter of Golden Rectangle is the total length of all the boundary lines of the Golden Rectangle.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Golden Rectangle

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

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 Perimeter of Golden Rectangle

Go Perimeter of Golden Rectangle given Breadth

P = 2 \cdot (1 + [phi]) \cdot b

Go Perimeter of Golden Rectangle given Diagonal

P = \frac{2 \cdot ([phi] + 1)}{\sqrt{{[phi]}^{2} + 1}} \cdot d

Go Perimeter of Golden Rectangle given Area

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

How to Evaluate Perimeter of Golden Rectangle?

Perimeter of Golden Rectangle evaluator uses Perimeter of Golden Rectangle = 2*(1+1/[phi])*Length of Golden Rectangle to evaluate the Perimeter of Golden Rectangle, The Perimeter of Golden Rectangle formula is defined as the total length of all the boundary lines of the Golden Rectangle. Perimeter of Golden Rectangle is denoted by P symbol.

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

FAQs on Perimeter of Golden Rectangle

What is the formula to find Perimeter of Golden Rectangle?

The formula of Perimeter of Golden Rectangle is expressed as Perimeter of Golden Rectangle = 2*(1+1/[phi])*Length of Golden Rectangle. Here is an example- 32.36068 = 2*(1+1/[phi])*10.

How to calculate Perimeter of Golden Rectangle?

With Length of Golden Rectangle (l) we can find Perimeter of Golden Rectangle using the formula - Perimeter of Golden Rectangle = 2*(1+1/[phi])*Length of Golden Rectangle. This formula also uses Golden ratio constant(s).

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

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

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

Can the Perimeter of Golden Rectangle be negative?

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

Which unit is used to measure Perimeter of Golden Rectangle?

Perimeter 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 Perimeter of Golden Rectangle can be measured.

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