Area of Quadrilateral Calculator

✖A Diagonal 1 of Quadrilateral is a straight line joining two opposite corners of the Quadrilateral.ⓘ Diagonal 1 of Quadrilateral [d₁]			+10% -10%
✖Sum of Length of Perpendiculars of Quadrilateral is the addition of the lengths of the perpendiculars drawn on the diagonals of the Quadrilateral.ⓘ Sum of Length of Perpendiculars of Quadrilateral [l_⊥(Sum)]			+10% -10%

✖Area of Quadrilateral is the amount of two-dimensional space taken up by the Quadrilateral.ⓘ Area of Quadrilateral [A]

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Area of Quadrilateral Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Quadrilateral = 1/2*Diagonal 1 of Quadrilateral*Sum of Length of Perpendiculars of Quadrilateral
A = 1/2*d₁*l_⊥(Sum)
This formula uses 3 Variables

Variables Used

Area of Quadrilateral - (Measured in Square Meter) - Area of Quadrilateral is the amount of two-dimensional space taken up by the Quadrilateral.
Diagonal 1 of Quadrilateral - (Measured in Meter) - A Diagonal 1 of Quadrilateral is a straight line joining two opposite corners of the Quadrilateral.
Sum of Length of Perpendiculars of Quadrilateral - (Measured in Meter) - Sum of Length of Perpendiculars of Quadrilateral is the addition of the lengths of the perpendiculars drawn on the diagonals of the Quadrilateral.

STEP 1: Convert Input(s) to Base Unit

Diagonal 1 of Quadrilateral: 11 Meter --> 11 Meter No Conversion Required
Sum of Length of Perpendiculars of Quadrilateral: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 1/2*d₁*l_⊥(Sum) --> 1/2*11*12

Evaluating ... ...

A = 66

STEP 3: Convert Result to Output's Unit

66 Square Meter --> No Conversion Required

FINAL ANSWER

66 Square Meter <-- Area of Quadrilateral

(Calculation completed in 00.004 seconds)

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Created by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

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St Joseph's College (SJC), Bengaluru

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< Area of Quadrilateral Calculators

Area of Quadrilateral given Angles and Sides

LaTeX Go 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

Area of Quadrilateral given Diagonals and Sides

LaTeX Go 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 given Diagonals and Angle between Diagonals

LaTeX Go Area of Quadrilateral = (Diagonal 1 of Quadrilateral*Diagonal 2 of Quadrilateral)/2*sin(Angle between Diagonals of Quadrilateral)

Area of Quadrilateral

LaTeX Go Area of Quadrilateral = 1/2*Diagonal 1 of Quadrilateral*Sum of Length of Perpendiculars of Quadrilateral

Area of Quadrilateral Formula

LaTeX Go

Area of Quadrilateral = 1/2*Diagonal 1 of Quadrilateral*Sum of Length of Perpendiculars of Quadrilateral
A = 1/2*d₁*l_⊥(Sum)

What is Quadrilateral?

A Quadrilateral is a plane figure that has four sides or edges, and also four corners or vertices. The angles are present at the four vertices or corners of the quadrilateral. The word ‘quadrilateral’ is derived from the Latin words ‘quadri,’ which means four, and ‘latus’, which means side.

How to Calculate Area of Quadrilateral?

Area of Quadrilateral calculator uses Area of Quadrilateral = 1/2*Diagonal 1 of Quadrilateral*Sum of Length of Perpendiculars of Quadrilateral to calculate 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 calculate Area of Quadrilateral using this online calculator? To use this online calculator for Area of Quadrilateral, enter Diagonal 1 of Quadrilateral (d₁) & Sum of Length of Perpendiculars of Quadrilateral (l_⊥(Sum)) and hit the calculate button. Here is how the Area of Quadrilateral calculation can be explained with given input values -> 66 = 1/2*11*12.

FAQ

What is 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 and is represented as A = 1/2*d₁*l_⊥(Sum) or Area of Quadrilateral = 1/2*Diagonal 1 of Quadrilateral*Sum of Length of Perpendiculars of Quadrilateral. A Diagonal 1 of Quadrilateral is a straight line joining two opposite corners of the Quadrilateral & Sum of Length of Perpendiculars of Quadrilateral is the addition of the lengths of the perpendiculars drawn on the diagonals of the Quadrilateral.

How to calculate 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 is calculated using Area of Quadrilateral = 1/2*Diagonal 1 of Quadrilateral*Sum of Length of Perpendiculars of Quadrilateral. To calculate Area of Quadrilateral, you need Diagonal 1 of Quadrilateral (d₁) & Sum of Length of Perpendiculars of Quadrilateral (l_⊥(Sum)). With our tool, you need to enter the respective value for Diagonal 1 of Quadrilateral & Sum of Length of Perpendiculars of Quadrilateral and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Area of Quadrilateral?

In this formula, Area of Quadrilateral uses Diagonal 1 of Quadrilateral & Sum of Length of Perpendiculars of Quadrilateral. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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