The area of a trapezium is 100 cm². If the distance between the parallel sides of the trapezium is 10 cm, then what is the sum of the lengths of the two parallel sides ?

20 cm

We know that,

Area of trapezium = \(\frac{1}{2}\) × (sum of parallel sides) × (distance between parallel sides)

Given,

The area of a trapezium is 100 cm².

The distance between the parallel sides of the trapezium is 10 cm.

So,

Let the value of the sides of trapezium is x and y.

Putting the given values, we get:

100 = \(\frac{1}{2}\) × (x + y) × 10

Simplifying the above equation, we get:

(x + y) = 20