The area of a trapezium with parallel sides of length a and b which are separated by a distance d is given by (1/2)*(a + b)*d.

Here, we have a trapezium with parallel sides of length 6 and 30 and the height which is also the distance separating the parallel sides as 15.

The area of the trapezium is 15*(6 + 30)/2

=> 15*36/2

=> 15*18

=> 270

**The required area of the trapezium is 270.**