Perimeter of Golden Rectangle given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Golden Rectangle = 2*(1+1/[phi])*sqrt([phi]*Area of Golden Rectangle)
P = 2*(1+1/[phi])*sqrt([phi]*A)
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
[phi] - Golden ratio Value Taken As 1.61803398874989484820458683436563811
Functions Used
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., sqrt(Number)
Variables Used
Perimeter of Golden Rectangle - (Measured in Meter) - The Perimeter of Golden Rectangle is the total length of all the boundary lines of the Golden Rectangle.
Area of Golden Rectangle - (Measured in Square Meter) - The Area of Golden Rectangle is the total quantity of plane enclosed by the boundary of Golden Rectangle.
STEP 1: Convert Input(s) to Base Unit
Area of Golden Rectangle: 60 Square Meter --> 60 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 2*(1+1/[phi])*sqrt([phi]*A) --> 2*(1+1/[phi])*sqrt([phi]*60)
Evaluating ... ...
P = 31.8850484490764
STEP 3: Convert Result to Output's Unit
31.8850484490764 Meter --> No Conversion Required
FINAL ANSWER
31.8850484490764 31.88505 Meter <-- Perimeter of Golden Rectangle
(Calculation completed in 00.004 seconds)

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Perimeter of Golden Rectangle Calculators

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

Perimeter of Golden Rectangle given Area Formula

​LaTeX ​Go
Perimeter of Golden Rectangle = 2*(1+1/[phi])*sqrt([phi]*Area of Golden Rectangle)
P = 2*(1+1/[phi])*sqrt([phi]*A)

What is a Golden Rectangle?

In geometry, a golden rectangle is a rectangle whose side lengths are in the golden ratio, 1:1+sqrt(5)/2 which is 1:phi is approximately 1.618. Golden rectangles exhibit a special form of self-similarity: All rectangles created by adding or removing a square are Golden rectangles as well. A distinctive feature of this shape is that when a square section is added—or removed—the product is another golden rectangle, having the same aspect ratio as the first. Square addition or removal can be repeated infinitely, in which case corresponding corners of the squares form an infinite sequence of points on the golden spiral, the unique logarithmic spiral with this property. Diagonal lines drawn between the first two orders of embedded golden rectangles will define the intersection point of the diagonals of all the embedded golden rectangles; Clifford A. Pickover referred to this point as "the Eye of God"

How to Calculate Perimeter of Golden Rectangle given Area?

Perimeter of Golden Rectangle given Area calculator uses Perimeter of Golden Rectangle = 2*(1+1/[phi])*sqrt([phi]*Area of Golden Rectangle) to calculate 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 calculate Perimeter of Golden Rectangle given Area using this online calculator? To use this online calculator for Perimeter of Golden Rectangle given Area, enter Area of Golden Rectangle (A) and hit the calculate button. Here is how the Perimeter of Golden Rectangle given Area calculation can be explained with given input values -> 31.88505 = 2*(1+1/[phi])*sqrt([phi]*60).

FAQ

What is Perimeter of Golden Rectangle given Area?
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 and is represented as P = 2*(1+1/[phi])*sqrt([phi]*A) or Perimeter of Golden Rectangle = 2*(1+1/[phi])*sqrt([phi]*Area of Golden Rectangle). The Area of Golden Rectangle is the total quantity of plane enclosed by the boundary of Golden Rectangle.
How to calculate Perimeter of Golden Rectangle given Area?
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 is calculated using Perimeter of Golden Rectangle = 2*(1+1/[phi])*sqrt([phi]*Area of Golden Rectangle). To calculate Perimeter of Golden Rectangle given Area, you need Area of Golden Rectangle (A). With our tool, you need to enter the respective value for Area of Golden Rectangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Perimeter of Golden Rectangle?
In this formula, Perimeter of Golden Rectangle uses Area of Golden Rectangle. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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
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