Question

The parallel sides of a trapezium are 20 cm and 10 cm. Its non-parallel sides are both equaleach being 13 cím.
Find the area of the trapezium.
The narallel sides of a trapezium are 25 cm and 11 cm, while its non-parallel sides are 15 cm and 13 cm. Find​

Answer 1

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