Question
Find the area of a trapezium whose parallel sides measure 60cm and 77cm and non-parallel sides are 25cm and 26cm.
Hint:
Draw the parallel line from B parallel to AD which cuts the CD at E .
We get a triangle and parallelogram. we find the area of triangle in both heron's
method and using formula area = ½ b × h and equating we get height h
Now , find the area of Trapezium = ½ height × (sum of lengths of parallel sides).
The correct answer is: 1644 cm2
Ans :- 1,644 cm2.
Explanation :-
Step 1:- Given lengths of parallel sides is 60 and 77 cm .
Length of non parallel sides is 25 and 26 cm
We get a triangle and parallelogram ABED
we get BE = 25 cm ; DE = 60 cm (opposites sides of parallelogram )
CE = CD-DE = 77 - 60 = 17 cm .
Step 2:- Equate the areas and find value of height h
Step 3:-Find the area of trapezium
Therefore, Area of trapezium ABCD = 1,644 cm2.
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