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Diagonal of Rectangle given Area and Perimeter 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 = \frac{1}{2} \cdot \sqrt{P^{2} - (8 \cdot A)}

d - Diagonal of Rectangle?P - Perimeter of Rectangle?A - Area of Rectangle?

Diagonal of Rectangle given Area and Perimeter Example

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

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

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

10 = \frac{1}{2} \cdot \sqrt{28^{2} - (8 \cdot 48)}

10m = \frac{1}{2} \cdot \sqrt{{28m}^{2} - (8 \cdot 48m²)}

10 = \frac{1}{2} \cdot \sqrt{28^{2} - (8 \cdot 48)}

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Diagonal of Rectangle given Area and Perimeter Solution

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

FIRST Step Consider the formula

d = \frac{1}{2} \cdot \sqrt{P^{2} - (8 \cdot A)}

Next Step Substitute values of Variables

∴

d = \frac{1}{2} \cdot \sqrt{{28m}^{2} - (8 \cdot 48m²)}

Next Step Prepare to Evaluate

∴

d = \frac{1}{2} \cdot \sqrt{28^{2} - (8 \cdot 48)}

LAST Step Evaluate

∴

d = 10m

Diagonal of Rectangle given Area and Perimeter 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

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

Area of Rectangle

Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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 Area and Perimeter?

Diagonal of Rectangle given Area and Perimeter evaluator uses Diagonal of Rectangle = 1/2*sqrt(Perimeter of Rectangle^2-(8*Area of Rectangle)) to evaluate the Diagonal of Rectangle, The Diagonal of Rectangle given Area and Perimeter formula is defined as the length of the line joining any pair of opposite vertices of the Rectangle and calculated using Area and Perimeter of the Rectangle. Diagonal of Rectangle is denoted by d symbol.

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

FAQs on Diagonal of Rectangle given Area and Perimeter

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

The formula of Diagonal of Rectangle given Area and Perimeter is expressed as Diagonal of Rectangle = 1/2*sqrt(Perimeter of Rectangle^2-(8*Area of Rectangle)). Here is an example- 10 = 1/2*sqrt(28^2-(8*48)).

How to calculate Diagonal of Rectangle given Area and Perimeter?

With Perimeter of Rectangle (P) & Area of Rectangle (A) we can find Diagonal of Rectangle given Area and Perimeter using the formula - Diagonal of Rectangle = 1/2*sqrt(Perimeter of Rectangle^2-(8*Area of Rectangle)). 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 Area and Perimeter be negative?

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

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

Diagonal of Rectangle given Area and Perimeter 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 Area and Perimeter can be measured.

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Diagonal of Rectangle given Area and Perimeter Formula

​GoDiagonal of Rectangle given Area and Breadth Formula

​GoDiagonal of Rectangle given Perimeter and Breadth Formula

Diagonal of Rectangle given Area and Perimeter Example

Diagonal of Rectangle given Area and Perimeter Solution

Diagonal of Rectangle given Area and Perimeter Formula Elements

Other Formulas to find Diagonal of Rectangle

How to Evaluate Diagonal of Rectangle given Area and Perimeter?

FAQs on Diagonal of Rectangle given Area and Perimeter

Variable Name

GoDiagonal of Rectangle given Area and Breadth Formula

GoDiagonal of Rectangle given Perimeter and Breadth Formula