If the area of trapezium is 64 cm² and the distance between parallel sides is 8 cm, then sum of its parallel sides is

1. 8 cm

2. 4 cm

3. 32 cm

4. 16 cm

By formula,

Area of trapezium = $\dfrac{1}{2}$ × sum of parallel sides × distance between them

Substituting values we get,

⇒ 64 = $\dfrac{1}{2}$ × sum of parallel sides × 8

⇒ 64 = 4 × sum of parallel sides

⇒ sum of parallel sides = $\dfrac{64}{4}$ = 16 cm.

Hence, Option 4 is the correct option.