Q. 84.0( 5 Votes )
The parallel sides of a trapezium is 77 m and 60 m and its non-parallel sides are 26 m and 25 m. Find the area of the trapezium.
Let ABCD be a trapezium in which
AB = 60 m, CD = 77 m, BC = 26 m, AD = 25 m
Draw BE || to AD
Thus ABED is parallelogram
Hence AB = DE = 60 m.
AD = BE = 25 m
and EC = DC - DE = 77 - 60 = 17 m
Now in ΔBEC,
BE = 25 m, BC = 26m, EC = 17m
Let the height of B from EC be = h m
S = = 34
Area of ΔBEC =
´ EC ´ h =
⇒ ´ 17 ´ h =
or h = 24 m.
Now area of trapezium = (sum of parallel sides) × height
\\\\ Area of trapezium = (60 + 77) ´ 24 = 1644 m2.
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Heron's Formula43 mins
Champ Quiz | Know About Heron's Formula53 mins
Champ Quiz | Heron's Formula41 mins
Quiz | Heron's Formula44 mins
Heron's formula32 mins
NCERT | Heron's Formula49 mins
Champ Quiz | Area of Triangle53 mins
Learn How to Write The FormulaFREE Class
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation