Q. 93.8( 12 Votes )

Find the area of a quadrilateral ABCD in which AB = 42 cm, BC = 21 cm, CD = 29 cm, DA = 34 cm and diagonal BD = 20 cm.

Answer :

In ∆ABD;


AB = a = 42 cm, BD = b = 20 cm, DA = c = 34 cm


Let a, b and c are the sides of triangle and s is


the semi-perimeter, then its area is given by:



A = where


= = 48


A1 =


A1 = = m2


In ∆BCD;


BC = a = 21 cm, DC = b = 29 cm, BD = c = 20 cm


Let a, b and c are the sides of triangle and s is


the semi-perimeter, then its area is given by:


A = where


= = 35


A2 =


A2 = = m2


Therefore area of quadrilateral ABCD = A1 + A2 = 336+210 = 546 cm2


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
NCERT | Heron's FormulaNCERT | Heron's FormulaNCERT | Heron's Formula49 mins
Quiz | Heron's FormulaQuiz | Heron's FormulaQuiz | Heron's Formula44 mins
NCERT | IMP Qs on Herons FormulaNCERT | IMP Qs on Herons FormulaNCERT | IMP Qs on Herons Formula44 mins
Heron's FormulaHeron's FormulaHeron's Formula43 mins
NCERT | Master all Question Types of Heron's FormulaNCERT | Master all Question Types of Heron's FormulaNCERT | Master all Question Types of Heron's Formula46 mins
Heron's formulaHeron's formulaHeron's formula32 mins
Champ Quiz | Know About Heron's FormulaChamp Quiz | Know About Heron's FormulaChamp Quiz | Know About Heron's Formula53 mins
Smart Revision | Heron's FormulaSmart Revision | Heron's FormulaSmart Revision | Heron's Formula39 mins
Champ Quiz | Heron's FormulaChamp Quiz | Heron's FormulaChamp Quiz | Heron's Formula41 mins
RD Sharma | IMP Qs from Heron's FormulaRD Sharma | IMP Qs from Heron's FormulaRD Sharma | IMP Qs from Heron's Formula45 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses