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Breadth of Golden Rectangle given Perimeter Formula

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

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

b - Breadth of Golden Rectangle?P - Perimeter of Golden Rectangle?[phi] - Golden ratio?

Breadth of Golden Rectangle given Perimeter Example

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

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

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

5.7295 = \frac{30}{2 \cdot (1 + 1.618)}

5.7295m = \frac{30m}{2 \cdot (1 + 1.618)}

5.7295 = \frac{30}{2 \cdot (1 + 1.618)}

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Breadth of Golden Rectangle given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b = \frac{30m}{2 \cdot (1 + [phi])}

Next Step Substitute values of Constants

∴

b = \frac{30m}{2 \cdot (1 + 1.618)}

Next Step Prepare to Evaluate

∴

b = \frac{30}{2 \cdot (1 + 1.618)}

Next Step Evaluate

∴

b = 5.72949016875158m

LAST Step Rounding Answer

∴

b = 5.7295m

Breadth of Golden Rectangle given Perimeter Formula Elements

Variables

Constants

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

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

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 Breadth of Golden Rectangle

Go Breadth of Golden Rectangle

b = \frac{l}{[phi]}

Go Breadth of Golden Rectangle given Diagonal

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

Go Breadth of Golden Rectangle given Area

b = \sqrt{\frac{A}{[phi]}}

How to Evaluate Breadth of Golden Rectangle given Perimeter?

Breadth of Golden Rectangle given Perimeter evaluator uses Breadth of Golden Rectangle = Perimeter of Golden Rectangle/(2*(1+[phi])) to evaluate the Breadth of Golden Rectangle, The Breadth of Golden Rectangle given Perimeter formula is defined as the length of the shortest edge of the Golden Rectangle and calculated using the perimeter of the Golden Rectangle. Breadth of Golden Rectangle is denoted by b symbol.

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

FAQs on Breadth of Golden Rectangle given Perimeter

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

The formula of Breadth of Golden Rectangle given Perimeter is expressed as Breadth of Golden Rectangle = Perimeter of Golden Rectangle/(2*(1+[phi])). Here is an example- 5.72949 = 30/(2*(1+[phi])).

How to calculate Breadth of Golden Rectangle given Perimeter?

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

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

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

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

Can the Breadth of Golden Rectangle given Perimeter be negative?

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

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

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

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