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Breadth of Rectangle given Perimeter and Diagonal Formula

GoBreadth of Rectangle given Area Formula

GoBreadth of Rectangle given Diagonal and Obtuse Angle between Diagonals Formula

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

b = \frac{1}{4} \cdot (P - \sqrt{(8 \cdot d^{2}) - P^{2}})

b - Breadth of Rectangle?P - Perimeter of Rectangle?d - Diagonal of Rectangle?

Breadth of Rectangle given Perimeter and Diagonal Example

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

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

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

6 = \frac{1}{4} \cdot (28 - \sqrt{(8 \cdot 10^{2}) - 28^{2}})

6m = \frac{1}{4} \cdot (28m - \sqrt{(8 \cdot {10m}^{2}) - {28m}^{2}})

6 = \frac{1}{4} \cdot (28 - \sqrt{(8 \cdot 10^{2}) - 28^{2}})

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Breadth of Rectangle given Perimeter and Diagonal Solution

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

FIRST Step Consider the formula

b = \frac{1}{4} \cdot (P - \sqrt{(8 \cdot d^{2}) - P^{2}})

Next Step Substitute values of Variables

∴

b = \frac{1}{4} \cdot (28m - \sqrt{(8 \cdot {10m}^{2}) - {28m}^{2}})

Next Step Prepare to Evaluate

∴

b = \frac{1}{4} \cdot (28 - \sqrt{(8 \cdot 10^{2}) - 28^{2}})

LAST Step Evaluate

∴

b = 6m

Breadth of Rectangle given Perimeter and Diagonal Formula Elements

Variables

Functions

Breadth of Rectangle

Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Breadth 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

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 Breadth of Rectangle

Go Breadth of Rectangle given Area

b = \frac{A}{l}

Go Breadth of Rectangle given Diagonal and Obtuse Angle between Diagonals

b = d \cdot \cos (\frac{∠ d(Obtuse)}{2})

Go Breadth of Rectangle given Diagonal and Acute Angle between Diagonals

b = d \cdot \sin (\frac{∠ d(Acute)}{2})

Go Breadth of Rectangle given Perimeter

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

How to Evaluate Breadth of Rectangle given Perimeter and Diagonal?

Breadth of Rectangle given Perimeter and Diagonal evaluator uses Breadth of Rectangle = 1/4*(Perimeter of Rectangle-sqrt((8*Diagonal of Rectangle^2)-Perimeter of Rectangle^2)) to evaluate the Breadth of Rectangle, The Breadth of Rectangle given Perimeter and Diagonal formula is defined as any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides, and calculated using Perimeter and Diagonal of the Rectangle. Breadth of Rectangle is denoted by b symbol.

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

FAQs on Breadth of Rectangle given Perimeter and Diagonal

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

The formula of Breadth of Rectangle given Perimeter and Diagonal is expressed as Breadth of Rectangle = 1/4*(Perimeter of Rectangle-sqrt((8*Diagonal of Rectangle^2)-Perimeter of Rectangle^2)). Here is an example- 6 = 1/4*(28-sqrt((8*10^2)-28^2)).

How to calculate Breadth of Rectangle given Perimeter and Diagonal?

With Perimeter of Rectangle (P) & Diagonal of Rectangle (d) we can find Breadth of Rectangle given Perimeter and Diagonal using the formula - Breadth of Rectangle = 1/4*(Perimeter of Rectangle-sqrt((8*Diagonal of Rectangle^2)-Perimeter of Rectangle^2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Breadth of Rectangle?

Here are the different ways to Calculate Breadth of Rectangle-

Breadth of Rectangle=Area of Rectangle/Length of Rectangle
Breadth of Rectangle=Diagonal of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2)
Breadth of Rectangle=Diagonal of Rectangle*sin(Acute Angle between Diagonals of Rectangle/2)

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

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

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

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

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Breadth of Rectangle given Perimeter and Diagonal Formula

​GoBreadth of Rectangle given Area Formula

​GoBreadth of Rectangle given Diagonal and Obtuse Angle between Diagonals Formula

Breadth of Rectangle given Perimeter and Diagonal Example

Breadth of Rectangle given Perimeter and Diagonal Solution

Breadth of Rectangle given Perimeter and Diagonal Formula Elements

Other Formulas to find Breadth of Rectangle

How to Evaluate Breadth of Rectangle given Perimeter and Diagonal?

FAQs on Breadth of Rectangle given Perimeter and Diagonal

Variable Name

GoBreadth of Rectangle given Area Formula

GoBreadth of Rectangle given Diagonal and Obtuse Angle between Diagonals Formula