Q. 164.7( 13 Votes )

The parallel sides of a trapezium are 25 cm and 13 cm; its nonparallel sides are equal, each being 10 cm, find the area of the trapezium.

Answer :



In ΔCEF


CE = 10 cm and EF = 6cm


Using pythagorous theorem:


CE2 = CF2 + EF2


CF2 = CE2 - EF2


CF2 = 102 - 62


CF2 = 100-36


CF2 = 64


CF = 8 cm


Area of trapezium = area of parallelogram AECD + area of area of triangle CEF


Area of trapezium =


Area of trapezium =


Area of trapezium = 104 + 48 = 152 cm2


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Area of PolygonsArea of PolygonsArea of Polygons41 mins
Methods of Charging a BodyMethods of Charging a BodyMethods of Charging a Body44 mins
Quiz | Imp. Qs on PolyhedronsQuiz | Imp. Qs on PolyhedronsQuiz | Imp. Qs on Polyhedrons38 mins
Quiz | MensurationQuiz | MensurationQuiz | Mensuration45 mins
Quiz | MensurationQuiz | MensurationQuiz | Mensuration43 mins
NCERT | Surface Area of Solid ShapesNCERT | Surface Area of Solid ShapesNCERT | Surface Area of Solid Shapes39 mins
NCERT | Imp. Qs. of MensurationNCERT | Imp. Qs. of MensurationNCERT | Imp. Qs. of Mensuration53 mins
The History and Chemistry Behind a Matchstick!The History and Chemistry Behind a Matchstick!The History and Chemistry Behind a Matchstick!37 mins
Lets Make a Timetable and Crack OlympiadLets Make a Timetable and Crack OlympiadLets Make a Timetable and Crack Olympiad40 mins
Concentration makes you a ChampConcentration makes you a ChampConcentration makes you a Champ30 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
RELATED QUESTIONS :