# The area of a trapezium is 34 cm² and the length of one of the parallel sides is 10 cm and its height is 4cm. Find the length of the other parallel side.

**Solution:**

Area of the trapezium ABCD = 1/2 × (Sum of parallel side) × Distance between its parallel sides

34 = 1/2 × (AB + CD) × 4 cm

34 = 1/2 × (10 cm + a) × 4 cm

34 = 2(10 cm + a)

34/2 = 10 cm + a

17 = 10 cm + a

a = 17 cm − 10 cm = 7 cm

Thus, the length of the other parallel side is 7 cm

**Video Solution:**

## The area of a trapezium is 34 cm² and the length of one of the parallel sides is 10 cm and its height is 4cm. Find the length of the other parallel side

### Class 8 Maths NCERT Solutions - Chapter 11 Exercise 11.2 Question 2

**Summary:**

The area of a trapezium is 34 cm² and the length of one of the parallel sides is 10 cm and its height is 4cm. The length of the other parallel side is 7 cm.