## Area of Quadrilateral given Diagonals and Sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
A = sqrt((4*d1^2*d2^2)-(Sa^2+Sc^2-Sb^2-Sd^2)^2)/4
This formula uses 1 Functions, 7 Variables
Functions Used
sqrt - Square root function, sqrt(Number)
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.
Diagonal 2 of Quadrilateral - (Measured in Meter) - Diagonal 2 of Quadrilateral is a straight line joining two opposite corners of the Quadrilateral.
Side A of Quadrilateral - (Measured in Meter) - Side A of Quadrilateral is the measure of the length of the Side A of the Quadrilateral.
Side C of Quadrilateral - (Measured in Meter) - Side C of Quadrilateral is the measure of the side C of the Quadrilateral.
Side B of Quadrilateral - (Measured in Meter) - Side B of Quadrilateral is the measure of the length of the side B of the Quadrilateral.
Side D of Quadrilateral - (Measured in Meter) - Side D of Quadrilateral is the measure of the side D of the Quadrilateral.
STEP 1: Convert Input(s) to Base Unit
Diagonal 1 of Quadrilateral: 11 Meter --> 11 Meter No Conversion Required
Diagonal 2 of Quadrilateral: 12 Meter --> 12 Meter No Conversion Required
Side A of Quadrilateral: 10 Meter --> 10 Meter No Conversion Required
Side C of Quadrilateral: 8 Meter --> 8 Meter No Conversion Required
Side B of Quadrilateral: 9 Meter --> 9 Meter No Conversion Required
Side D of Quadrilateral: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = sqrt((4*d1^2*d2^2)-(Sa^2+Sc^2-Sb^2-Sd^2)^2)/4 --> sqrt((4*11^2*12^2)-(10^2+8^2-9^2-5^2)^2)/4
Evaluating ... ...
A = 64.3874987866434
STEP 3: Convert Result to Output's Unit
64.3874987866434 Square Meter --> No Conversion Required
64.3874987866434 64.3875 Square Meter <-- Area of Quadrilateral
(Calculation completed in 00.013 seconds)
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## < 4 Area of Quadrilateral Calculators

Area of Quadrilateral given Angles and Sides
Area of Quadrilateral given Diagonals and Sides
Area of Quadrilateral given Diagonals and Angle between Diagonals

## Area of Quadrilateral given Diagonals and Sides Formula

A = sqrt((4*d1^2*d2^2)-(Sa^2+Sc^2-Sb^2-Sd^2)^2)/4

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 given Diagonals and Sides?

How to calculate Area of Quadrilateral given Diagonals and Sides using this online calculator? To use this online calculator for Area of Quadrilateral given Diagonals and Sides, enter Diagonal 1 of Quadrilateral (d1), Diagonal 2 of Quadrilateral (d2), Side A of Quadrilateral (Sa), Side C of Quadrilateral (Sc), Side B of Quadrilateral (Sb) & Side D of Quadrilateral (Sd) and hit the calculate button. Here is how the Area of Quadrilateral given Diagonals and Sides calculation can be explained with given input values -> 64.3875 = sqrt((4*11^2*12^2)-(10^2+8^2-9^2-5^2)^2)/4.

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