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Length of Rectangle given Perimeter and Angle between Diagonal and Length Formula

GoLength of Rectangle given Area and Breadth Formula

GoLength of Rectangle given Perimeter and Breadth 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 = \frac{P}{2 \cdot (1 + \tan (∠ dl))}

l - Length of Rectangle?P - Perimeter of Rectangle?∠_dl - Angle between Diagonal and Length of Rectangle?

Length of Rectangle given Perimeter and Angle between Diagonal and Length Example

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

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

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

8.2343 = \frac{28}{2 \cdot (1 + \tan (35))}

8.2343m = \frac{28m}{2 \cdot (1 + \tan (35°))}

8.2343 = \frac{28}{2 \cdot (1 + \tan (35))}

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Length of Rectangle given Perimeter and Angle between Diagonal and Length Solution

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

FIRST Step Consider the formula

l = \frac{P}{2 \cdot (1 + \tan (∠ dl))}

Next Step Substitute values of Variables

∴

l = \frac{28m}{2 \cdot (1 + \tan (35°))}

Next Step Convert Units

∴

l = \frac{28m}{2 \cdot (1 + \tan (0.6109rad))}

Next Step Prepare to Evaluate

∴

l = \frac{28}{2 \cdot (1 + \tan (0.6109))}

Next Step Evaluate

∴

l = 8.23428886496008m

LAST Step Rounding Answer

∴

l = 8.2343m

Length of Rectangle given Perimeter and Angle between Diagonal and Length 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

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

Angle between Diagonal and Length of Rectangle

Angle between Diagonal and Length of Rectangle is the measure of wideness of the angle made by any diagonal with the length of the Rectangle.

Symbol: ∠_dl

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Angle between Diagonal and Length of Rectangle

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other Formulas to find Length of Rectangle

Go Length of Rectangle given Area and Breadth

l = \frac{A}{b}

Go Length of Rectangle given Perimeter and Breadth

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

Go Length of Rectangle given Diagonal and Breadth

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

Go Length of Rectangle given Diagonal and Obtuse Angle between Diagonals

l = d \cdot \sin (\frac{∠ d(Obtuse)}{2})

How to Evaluate Length of Rectangle given Perimeter and Angle between Diagonal and Length?

Length of Rectangle given Perimeter and Angle between Diagonal and Length evaluator uses Length of Rectangle = Perimeter of Rectangle/(2*(1+tan(Angle between Diagonal and Length of Rectangle))) to evaluate the Length of Rectangle, The Length of Rectangle given Perimeter and Angle between Diagonal and Length 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 Perimeter and Angle between Diagonal and Length of the Rectangle. Length of Rectangle is denoted by l symbol.

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

FAQs on Length of Rectangle given Perimeter and Angle between Diagonal and Length

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

The formula of Length of Rectangle given Perimeter and Angle between Diagonal and Length is expressed as Length of Rectangle = Perimeter of Rectangle/(2*(1+tan(Angle between Diagonal and Length of Rectangle))). Here is an example- 8.234289 = 28/(2*(1+tan(0.610865238197901))).

How to calculate Length of Rectangle given Perimeter and Angle between Diagonal and Length?

With Perimeter of Rectangle (P) & Angle between Diagonal and Length of Rectangle (∠_dl) we can find Length of Rectangle given Perimeter and Angle between Diagonal and Length using the formula - Length of Rectangle = Perimeter of Rectangle/(2*(1+tan(Angle between Diagonal and Length of Rectangle))). This formula also uses Tangent (tan) 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*Breadth of Rectangle))/2
Length of Rectangle=sqrt(Diagonal of Rectangle^2-Breadth of Rectangle^2)

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

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

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

Length of Rectangle given Perimeter and Angle between 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 Length of Rectangle given Perimeter and Angle between Diagonal and Length can be measured.

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