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Perimeter of Rectangle given Diagonal and Length Formula

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

P = 2 \cdot (l + \sqrt{d^{2} - l^{2}})

P - Perimeter of Rectangle?l - Length of Rectangle?d - Diagonal of Rectangle?

Perimeter of Rectangle given Diagonal and Length Example

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Here is how the Perimeter of Rectangle given Diagonal and Length equation looks like with Values.

Here is how the Perimeter of Rectangle given Diagonal and Length equation looks like with Units.

Here is how the Perimeter of Rectangle given Diagonal and Length equation looks like.

28 = 2 \cdot (8 + \sqrt{10^{2} - 8^{2}})

28m = 2 \cdot (8m + \sqrt{{10m}^{2} - {8m}^{2}})

28 = 2 \cdot (8 + \sqrt{10^{2} - 8^{2}})

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Perimeter of Rectangle given Diagonal and Length Solution

Follow our step by step solution on how to calculate Perimeter of Rectangle given Diagonal and Length?

FIRST Step Consider the formula

P = 2 \cdot (l + \sqrt{d^{2} - l^{2}})

Next Step Substitute values of Variables

∴

P = 2 \cdot (8m + \sqrt{{10m}^{2} - {8m}^{2}})

Next Step Prepare to Evaluate

∴

P = 2 \cdot (8 + \sqrt{10^{2} - 8^{2}})

LAST Step Evaluate

∴

P = 28m

Perimeter of Rectangle given Diagonal and Length Formula Elements

Variables

Functions

Perimeter of Rectangle

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

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Rectangle

Length of Rectangle

Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Rectangle

Diagonal of Rectangle

Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal of Rectangle

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 Rectangle

Go Perimeter of Rectangle

P = 2 \cdot (l + b)

Go Perimeter of Rectangle given Diagonal and Breadth

P = 2 \cdot (\sqrt{d^{2} - b^{2}} + b)

Go Perimeter of Rectangle given Area and Length

P = \frac{2 \cdot (A + l^{2})}{l}

Go Perimeter of Rectangle given Area and Diagonal

P = 2 \cdot \sqrt{d^{2} + (2 \cdot A)}

How to Evaluate Perimeter of Rectangle given Diagonal and Length?

Perimeter of Rectangle given Diagonal and Length evaluator uses Perimeter of Rectangle = 2*(Length of Rectangle+sqrt(Diagonal of Rectangle^2-Length of Rectangle^2)) to evaluate the Perimeter of Rectangle, Perimeter of Rectangle given Diagonal and Length formula is defined as the total length of all the boundary lines of the Rectangle, and calculated using diagonal and length of the Rectangle. Perimeter of Rectangle is denoted by P symbol.

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

FAQs on Perimeter of Rectangle given Diagonal and Length

What is the formula to find Perimeter of Rectangle given Diagonal and Length?

The formula of Perimeter of Rectangle given Diagonal and Length is expressed as Perimeter of Rectangle = 2*(Length of Rectangle+sqrt(Diagonal of Rectangle^2-Length of Rectangle^2)). Here is an example- 28 = 2*(8+sqrt(10^2-8^2)).

How to calculate Perimeter of Rectangle given Diagonal and Length?

With Length of Rectangle (l) & Diagonal of Rectangle (d) we can find Perimeter of Rectangle given Diagonal and Length using the formula - Perimeter of Rectangle = 2*(Length of Rectangle+sqrt(Diagonal of Rectangle^2-Length of Rectangle^2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Rectangle?

Here are the different ways to Calculate Perimeter of Rectangle-

Perimeter of Rectangle=2*(Length of Rectangle+Breadth of Rectangle)
Perimeter of Rectangle=2*(sqrt(Diagonal of Rectangle^2-Breadth of Rectangle^2)+Breadth of Rectangle)
Perimeter of Rectangle=(2*(Area of Rectangle+Length of Rectangle^2))/Length of Rectangle

Can the Perimeter of Rectangle given Diagonal and Length be negative?

No, the Perimeter of Rectangle given Diagonal and Length, measured in Length cannot be negative.

Which unit is used to measure Perimeter of Rectangle given Diagonal and Length?

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

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Perimeter of Rectangle given Diagonal and Length Formula

​GoPerimeter of Rectangle Formula

​GoPerimeter of Rectangle given Diagonal and Breadth Formula

Perimeter of Rectangle given Diagonal and Length Example

Perimeter of Rectangle given Diagonal and Length Solution

Perimeter of Rectangle given Diagonal and Length Formula Elements

Other Formulas to find Perimeter of Rectangle

How to Evaluate Perimeter of Rectangle given Diagonal and Length?

FAQs on Perimeter of Rectangle given Diagonal and Length

Variable Name

GoPerimeter of Rectangle Formula

GoPerimeter of Rectangle given Diagonal and Breadth Formula