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Perimeter of Golden Rectangle given Area Formula

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GoPerimeter of Golden Rectangle given Breadth 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 \sqrt{[phi] \cdot A}

P - Perimeter of Golden Rectangle?A - Area of Golden Rectangle?[phi] - Golden ratio?[phi] - Golden ratio?

Perimeter of Golden Rectangle given Area Example

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

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

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

31.885 = 2 \cdot (1 + \frac{1}{1.618}) \cdot \sqrt{1.618 \cdot 60}

31.885m = 2 \cdot (1 + \frac{1}{1.618}) \cdot \sqrt{1.618 \cdot 60m²}

31.885 = 2 \cdot (1 + \frac{1}{1.618}) \cdot \sqrt{1.618 \cdot 60}

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Perimeter of Golden Rectangle given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 2 \cdot (1 + \frac{1}{[phi]}) \cdot \sqrt{[phi] \cdot 60m²}

Next Step Substitute values of Constants

∴

P = 2 \cdot (1 + \frac{1}{1.618}) \cdot \sqrt{1.618 \cdot 60m²}

Next Step Prepare to Evaluate

∴

P = 2 \cdot (1 + \frac{1}{1.618}) \cdot \sqrt{1.618 \cdot 60}

Next Step Evaluate

∴

P = 31.8850484490764m

LAST Step Rounding Answer

∴

P = 31.885m

Perimeter of Golden Rectangle given Area Formula Elements

Variables

Constants

Functions

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

Area of Golden Rectangle

The Area of Golden Rectangle is the total quantity of plane enclosed by the boundary of Golden Rectangle.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Perimeter of Golden Rectangle

Go Perimeter of Golden Rectangle

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

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

How to Evaluate Perimeter of Golden Rectangle given Area?

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

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

FAQs on Perimeter of Golden Rectangle given Area

What is the formula to find Perimeter of Golden Rectangle given Area?

The formula of Perimeter of Golden Rectangle given Area is expressed as Perimeter of Golden Rectangle = 2*(1+1/[phi])*sqrt([phi]*Area of Golden Rectangle). Here is an example- 31.88505 = 2*(1+1/[phi])*sqrt([phi]*60).

How to calculate Perimeter of Golden Rectangle given Area?

With Area of Golden Rectangle (A) we can find Perimeter of Golden Rectangle given Area using the formula - Perimeter of Golden Rectangle = 2*(1+1/[phi])*sqrt([phi]*Area of Golden Rectangle). This formula also uses Golden ratio, Golden ratio constant(s) and Square Root (sqrt) function(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+1/[phi])*Length 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

Can the Perimeter of Golden Rectangle given Area be negative?

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

Which unit is used to measure Perimeter of Golden Rectangle given Area?

Perimeter of Golden Rectangle given Area 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 given Area can be measured.

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