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Diagonal of Rectangle given Perimeter and Length Formula

GoDiagonal of Rectangle given Area and Breadth Formula

GoDiagonal of Rectangle given Perimeter and Breadth Formula

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

d = \sqrt{(2 \cdot l^{2}) - (P \cdot l) + (\frac{P^{2}}{4})}

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

Diagonal of Rectangle given Perimeter and Length Example

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

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

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

10 = \sqrt{(2 \cdot 8^{2}) - (28 \cdot 8) + (\frac{28^{2}}{4})}

10m = \sqrt{(2 \cdot {8m}^{2}) - (28m \cdot 8m) + (\frac{{28m}^{2}}{4})}

10 = \sqrt{(2 \cdot 8^{2}) - (28 \cdot 8) + (\frac{28^{2}}{4})}

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Diagonal of Rectangle given Perimeter and Length Solution

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

FIRST Step Consider the formula

d = \sqrt{(2 \cdot l^{2}) - (P \cdot l) + (\frac{P^{2}}{4})}

Next Step Substitute values of Variables

∴

d = \sqrt{(2 \cdot {8m}^{2}) - (28m \cdot 8m) + (\frac{{28m}^{2}}{4})}

Next Step Prepare to Evaluate

∴

d = \sqrt{(2 \cdot 8^{2}) - (28 \cdot 8) + (\frac{28^{2}}{4})}

LAST Step Evaluate

∴

d = 10m

Diagonal of Rectangle given Perimeter and Length Formula Elements

Variables

Functions

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

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

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

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 Diagonal of Rectangle

Go Diagonal of Rectangle given Area and Breadth

d = \sqrt{{(\frac{A}{b})}^{2} + b^{2}}

Go Diagonal of Rectangle given Perimeter and Breadth

d = \sqrt{(2 \cdot b^{2}) - (P \cdot b) + (\frac{P^{2}}{4})}

Go Diagonal of Rectangle given Area and Length

d = \sqrt{{(\frac{A}{l})}^{2} + l^{2}}

Go Diagonal of Rectangle

d = \sqrt{l^{2} + b^{2}}

How to Evaluate Diagonal of Rectangle given Perimeter and Length?

Diagonal of Rectangle given Perimeter and Length evaluator uses Diagonal of Rectangle = sqrt((2*Length of Rectangle^2)-(Perimeter of Rectangle*Length of Rectangle)+(Perimeter of Rectangle^2/4)) to evaluate the Diagonal of Rectangle, Diagonal of Rectangle given Perimeter and Length formula is defined as the length of the line joining any pair of opposite vertices of the Rectangle, and calculated using perimeter and length of the Rectangle. Diagonal of Rectangle is denoted by d symbol.

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

FAQs on Diagonal of Rectangle given Perimeter and Length

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

The formula of Diagonal of Rectangle given Perimeter and Length is expressed as Diagonal of Rectangle = sqrt((2*Length of Rectangle^2)-(Perimeter of Rectangle*Length of Rectangle)+(Perimeter of Rectangle^2/4)). Here is an example- 10 = sqrt((2*8^2)-(28*8)+(28^2/4)).

How to calculate Diagonal of Rectangle given Perimeter and Length?

With Length of Rectangle (l) & Perimeter of Rectangle (P) we can find Diagonal of Rectangle given Perimeter and Length using the formula - Diagonal of Rectangle = sqrt((2*Length of Rectangle^2)-(Perimeter of Rectangle*Length of Rectangle)+(Perimeter of Rectangle^2/4)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Diagonal of Rectangle?

Here are the different ways to Calculate Diagonal of Rectangle-

Diagonal of Rectangle=sqrt((Area of Rectangle/Breadth of Rectangle)^2+Breadth of Rectangle^2)
Diagonal of Rectangle=sqrt((2*Breadth of Rectangle^2)-(Perimeter of Rectangle*Breadth of Rectangle)+(Perimeter of Rectangle^2/4))
Diagonal of Rectangle=sqrt((Area of Rectangle/Length of Rectangle)^2+Length of Rectangle^2)

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

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

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

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

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Diagonal of Rectangle given Perimeter and Length Formula

​GoDiagonal of Rectangle given Area and Breadth Formula

​GoDiagonal of Rectangle given Perimeter and Breadth Formula

Diagonal of Rectangle given Perimeter and Length Example

Diagonal of Rectangle given Perimeter and Length Solution

Diagonal of Rectangle given Perimeter and Length Formula Elements

Other Formulas to find Diagonal of Rectangle

How to Evaluate Diagonal of Rectangle given Perimeter and Length?

FAQs on Diagonal of Rectangle given Perimeter and Length

Variable Name

GoDiagonal of Rectangle given Area and Breadth Formula

GoDiagonal of Rectangle given Perimeter and Breadth Formula