Maths-
General
Easy
Question
The parallel sides of a trapezium are 30 cm and 10 cm and the other two sides are 13 cm and 21 cm. Find its area?
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: 252 cm2
Ans :- 252 cm2.
Explanation :-
Step 1:- Given lengths of parallel sides is 10 and 30 cm .
Length of non parallel sides is 21 and 13 cm
We get a triangle and parallelogram ABED
we get BE = 21 cm ; DE = 10 cm (opposites sides of parallelogram )
CE = CD-DE = 30 - 10 = 20 cm .
Step 2:- Equate the areas and find value of height h
Step 3:-Find the area of trapezium
Therefore, Area of trapezium ABCD = 252 cm2.
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