The parallel sides of a trapezium are 20cm and 30cm and its non parellel sides are 6cm and 8cm. Find area of trapezium.
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Answer:
Ans: area of trapezium is 144cm2
Step-by-step explanation:
The answer is 144 cm².
As shown in the attached figure, ABCD is a trapezium with AB = 20 cm, CD = 30 cm, AD = 6 cm and BC = 8 cm.
We are to find the area of the trapezium.
The side BE is drawn parallel to AD so that ABED is a parallelogram. Also, in ΔBEC, BE = 6 cm, EC = 10 cm and BC = 8 cm.
So,
Therefore, the area of ΔBEC is
We know that
The area of the parallelogram ABED will be
Thus, the area of the trapezium ABCD = Δ + A = 24 + 120 = 144 cm².
Answered by
1
In right ΔADF,
Thus, h = AD = 12 cm
∴Area of trapezium =
=
= 180 cm2
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