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Area of Quadrilateral Formula

GoArea of Quadrilateral given Diagonals and Sides Formula

GoArea of Quadrilateral given Diagonals and Angle between Diagonals Formula

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Area of Quadrilateral is the amount of two-dimensional space taken up by the Quadrilateral. Check FAQs

A = \frac{1}{2} \cdot d 1 \cdot l ⊥(Sum)

A - Area of Quadrilateral?d₁ - Diagonal 1 of Quadrilateral?l_⊥(Sum) - Sum of Length of Perpendiculars of Quadrilateral?

Area of Quadrilateral Example

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Here is how the Area of Quadrilateral equation looks like with Values.

Here is how the Area of Quadrilateral equation looks like with Units.

Here is how the Area of Quadrilateral equation looks like.

66 = \frac{1}{2} \cdot 11 \cdot 12

66m² = \frac{1}{2} \cdot 11m \cdot 12m

66 = \frac{1}{2} \cdot 11 \cdot 12

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Area of Quadrilateral Solution

Follow our step by step solution on how to calculate Area of Quadrilateral?

FIRST Step Consider the formula

A = \frac{1}{2} \cdot d 1 \cdot l ⊥(Sum)

Next Step Substitute values of Variables

∴

A = \frac{1}{2} \cdot 11m \cdot 12m

Next Step Prepare to Evaluate

∴

A = \frac{1}{2} \cdot 11 \cdot 12

LAST Step Evaluate

∴

A = 66m²

Area of Quadrilateral Formula Elements

Variables

Area of Quadrilateral

Area of Quadrilateral is the amount of two-dimensional space taken up by the Quadrilateral.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Quadrilateral

Diagonal 1 of Quadrilateral

A Diagonal 1 of Quadrilateral is a straight line joining two opposite corners of the Quadrilateral.

Symbol: d₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal 1 of Quadrilateral

Sum of Length of Perpendiculars of Quadrilateral

Sum of Length of Perpendiculars of Quadrilateral is the addition of the lengths of the perpendiculars drawn on the diagonals of the Quadrilateral.

Symbol: l_⊥(Sum)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Sum of Length of Perpendiculars of Quadrilateral

Other Formulas to find Area of Quadrilateral

Go Area of Quadrilateral given Diagonals and Sides

A = \frac{\sqrt{(4 \cdot {d 1}^{2} \cdot {d 2}^{2}) - {({S a}^{2} + {S c}^{2} - {S b}^{2} - {S d}^{2})}^{2}}}{4}

Go Area of Quadrilateral given Diagonals and Angle between Diagonals

A = \frac{d 1 \cdot d 2}{2} \cdot \sin (∠ Diagonals)

Go Area of Quadrilateral given Angles and Sides

A = \frac{(S a \cdot S d \cdot \sin (∠A)) + (S b \cdot S c \cdot \sin (∠C))}{2}

How to Evaluate Area of Quadrilateral?

Area of Quadrilateral evaluator uses Area of Quadrilateral = 1/2*Diagonal 1 of Quadrilateral*Sum of Length of Perpendiculars of Quadrilateral to evaluate the Area of Quadrilateral, Area of Quadrilateral formula is defined as the total region or the 2-dimensional space occupied by the surface of the Quadrilateral. Area of Quadrilateral is denoted by A symbol.

How to evaluate Area of Quadrilateral using this online evaluator? To use this online evaluator for Area of Quadrilateral, enter Diagonal 1 of Quadrilateral (d₁) & Sum of Length of Perpendiculars of Quadrilateral (l_⊥(Sum)) and hit the calculate button.

FAQs on Area of Quadrilateral

What is the formula to find Area of Quadrilateral?

The formula of Area of Quadrilateral is expressed as Area of Quadrilateral = 1/2*Diagonal 1 of Quadrilateral*Sum of Length of Perpendiculars of Quadrilateral. Here is an example- 66 = 1/2*11*12.

How to calculate Area of Quadrilateral?

With Diagonal 1 of Quadrilateral (d₁) & Sum of Length of Perpendiculars of Quadrilateral (l_⊥(Sum)) we can find Area of Quadrilateral using the formula - Area of Quadrilateral = 1/2*Diagonal 1 of Quadrilateral*Sum of Length of Perpendiculars of Quadrilateral.

What are the other ways to Calculate Area of Quadrilateral?

Here are the different ways to Calculate Area of Quadrilateral-

Area of Quadrilateral=sqrt((4*Diagonal 1 of Quadrilateral^2*Diagonal 2 of Quadrilateral^2)-(Side A of Quadrilateral^2+Side C of Quadrilateral^2-Side B of Quadrilateral^2-Side D of Quadrilateral^2)^2)/4
Area of Quadrilateral=(Diagonal 1 of Quadrilateral*Diagonal 2 of Quadrilateral)/2*sin(Angle between Diagonals of Quadrilateral)
Area of Quadrilateral=((Side A of Quadrilateral*Side D of Quadrilateral*sin(Angle A of Quadrilateral))+(Side B of Quadrilateral*Side C of Quadrilateral*sin(Angle C of Quadrilateral)))/2

Can the Area of Quadrilateral be negative?

No, the Area of Quadrilateral, measured in Area cannot be negative.

Which unit is used to measure Area of Quadrilateral?

Area of Quadrilateral is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Quadrilateral can be measured.

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Area of Quadrilateral Formula

​GoArea of Quadrilateral given Diagonals and Sides Formula

​GoArea of Quadrilateral given Diagonals and Angle between Diagonals Formula

Area of Quadrilateral Example

Area of Quadrilateral Solution

Area of Quadrilateral Formula Elements

Other Formulas to find Area of Quadrilateral

How to Evaluate Area of Quadrilateral?

FAQs on Area of Quadrilateral

Variable Name

GoArea of Quadrilateral given Diagonals and Sides Formula

GoArea of Quadrilateral given Diagonals and Angle between Diagonals Formula