Question

The parallel sides of a trapezium are 20cm and 10cm. Its nonparallel sides are both equal, each being 13cm. Find the area of the trapezium.

Answer 1

The parallel sides of a trapezium are 20cm and 10cm. Its non-parallel sides are both equal each being 13cm. Find the area of the trapezium.

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ANSWER

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