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Length of Rectangle given Area and Diagonal Formula

GoLength of Rectangle given Area and Breadth Formula

GoLength of Rectangle given Area and Perimeter Formula

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

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

l - Length of Rectangle?d - Diagonal of Rectangle?A - Area of Rectangle?

Length of Rectangle given Area and Diagonal Example

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

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

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

8 = \sqrt{\frac{10^{2} + \sqrt{10^{4} - (4 \cdot 48^{2})}}{2}}

8m = \sqrt{\frac{{10m}^{2} + \sqrt{{10m}^{4} - (4 \cdot {48m²}^{2})}}{2}}

8 = \sqrt{\frac{10^{2} + \sqrt{10^{4} - (4 \cdot 48^{2})}}{2}}

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Length of Rectangle given Area and Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l = \sqrt{\frac{{10m}^{2} + \sqrt{{10m}^{4} - (4 \cdot {48m²}^{2})}}{2}}

Next Step Prepare to Evaluate

∴

l = \sqrt{\frac{10^{2} + \sqrt{10^{4} - (4 \cdot 48^{2})}}{2}}

LAST Step Evaluate

∴

l = 8m

Length of Rectangle given Area and Diagonal Formula Elements

Variables

Functions

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

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 Length of Rectangle

Go Length of Rectangle given Area and Breadth

l = \frac{A}{b}

Go Length of Rectangle given Area and Perimeter

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

Other formulas in Length of Rectangle category

Go Breadth of Rectangle given Area

b = \frac{A}{l}

Go Breadth of Rectangle given Diagonal

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

Go Breadth of Rectangle given Perimeter

b = \frac{P - (2 \cdot l)}{2}

How to Evaluate Length of Rectangle given Area and Diagonal?

Length of Rectangle given Area and Diagonal evaluator uses Length of Rectangle = sqrt((Diagonal of Rectangle^2+sqrt(Diagonal of Rectangle^4-(4*Area of Rectangle^2)))/2) to evaluate the Length of Rectangle, The Length of Rectangle given Area and Diagonal formula is defined as any one of the pair of parallel sides which are longer than the remaining pair of parallel sides and calculated using Area and Diagonal of the Rectangle. Length of Rectangle is denoted by l symbol.

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

FAQs on Length of Rectangle given Area and Diagonal

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

The formula of Length of Rectangle given Area and Diagonal is expressed as Length of Rectangle = sqrt((Diagonal of Rectangle^2+sqrt(Diagonal of Rectangle^4-(4*Area of Rectangle^2)))/2). Here is an example- 8 = sqrt((10^2+sqrt(10^4-(4*48^2)))/2).

How to calculate Length of Rectangle given Area and Diagonal?

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

What are the other ways to Calculate Length of Rectangle?

Here are the different ways to Calculate Length of Rectangle-

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

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

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

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

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

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Length of Rectangle given Area and Diagonal Formula

​GoLength of Rectangle given Area and Breadth Formula

​GoLength of Rectangle given Area and Perimeter Formula

Length of Rectangle given Area and Diagonal Example

Length of Rectangle given Area and Diagonal Solution

Length of Rectangle given Area and Diagonal Formula Elements

Other Formulas to find Length of Rectangle

Other formulas in Length of Rectangle category

How to Evaluate Length of Rectangle given Area and Diagonal?

FAQs on Length of Rectangle given Area and Diagonal

Variable Name

GoLength of Rectangle given Area and Breadth Formula

GoLength of Rectangle given Area and Perimeter Formula