the parallel sides of a trapezium are 20 CM and 10 CM. It's nonparallel sides are both equal each being 13 CM. find the area of the trapezium.
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Step-by-step explanation:
We divide the trapezium into 3 parts: 2 triangles and a rectangle.
Base of triangle =
2
20−10
=5
Height of the triangle and rectangle (h)
2
=13
2
−5
2
⇒(h)
2
=144
⇒h=12
Area of trapezium =
2
1
×(sum of parallel sides) × (height)
=
2
1
×(10+20)×(12)
=180 sq.cm
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