Question

The length of the parallel sides of a trapezium
are 30 cm and 23 cm respectively. If the perpendicular
distance between them is 10 cm. what is its area?​

Answer 1

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