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Breadth of Golden Rectangle given Area Formula

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GoBreadth of Golden Rectangle given Diagonal Formula

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

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

b - Breadth of Golden Rectangle?A - Area of Golden Rectangle?[phi] - Golden ratio?

Breadth of Golden Rectangle given Area Example

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

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

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

6.0895 = \sqrt{\frac{60}{1.618}}

6.0895m = \sqrt{\frac{60m²}{1.618}}

6.0895 = \sqrt{\frac{60}{1.618}}

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Breadth of Golden Rectangle given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b = \sqrt{\frac{60m²}{[phi]}}

Next Step Substitute values of Constants

∴

b = \sqrt{\frac{60m²}{1.618}}

Next Step Prepare to Evaluate

∴

b = \sqrt{\frac{60}{1.618}}

Next Step Evaluate

∴

b = 6.08950238730503m

LAST Step Rounding Answer

∴

b = 6.0895m

Breadth of Golden Rectangle given Area Formula Elements

Variables

Constants

Functions

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

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

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 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 Perimeter

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

How to Evaluate Breadth of Golden Rectangle given Area?

Breadth of Golden Rectangle given Area evaluator uses Breadth of Golden Rectangle = sqrt(Area of Golden Rectangle/[phi]) to evaluate the Breadth of Golden Rectangle, The Breadth of Golden Rectangle given Area formula is defined as the length of the shortest edge of the Golden Rectangle and calculated using the area of the Golden Rectangle. Breadth of Golden Rectangle is denoted by b symbol.

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

FAQs on Breadth of Golden Rectangle given Area

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

The formula of Breadth of Golden Rectangle given Area is expressed as Breadth of Golden Rectangle = sqrt(Area of Golden Rectangle/[phi]). Here is an example- 6.089502 = sqrt(60/[phi]).

How to calculate Breadth of Golden Rectangle given Area?

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

Can the Breadth of Golden Rectangle given Area be negative?

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

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

Breadth 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 Breadth of Golden Rectangle given Area can be measured.

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