The area of a trapezium is 540 m². If the parallel sides are 30 m and 24 m in length, then find the distance between them.

Correct option is A

​Given:

Area of trapezium = 540 m²

Parallel sides = 30 m and 24 m

Formula Used:

​$$\text{Area} = \frac{1}{2} \times (a + b) \times h$$​​

where a and b are the lengths of the parallel sides, and h is the height.

Solution:

​$$540 = \frac{1}{2} \times (30 + 24) \times h \\\ 540 = 27h \\\ h = \frac{540}{27} = 20 \, \text{m}$$​​