The area of a trapezium is 330 cm², if the lengths of its parallel sides are 24 cm and 20 cm, find the distance between the parallel sides.

Correct option is C

Given:

Area of trapezium = 330 cm²

Length of one parallel side (a) = 24 cm

Length of other parallel side (b) = 20 cm

Distance between the parallel sides (height, h) = ?

Formula Used:

Area of a trapezium =$$\frac{1}{2} \times (\text{Sum of parallel sides}) \times \text{Height}$$​

Solution:

Substitute the values into the formula:

330 $$= \frac{1}{2} \times (24 + 20) \times h$$​​

330 $$= \frac{1}{2} \times 44 \times h$$​

330 = 22h

h =$$\frac{330}{22} =$$​ 15 cm