# What will be the Distance of Parallel Sides? If

The perimeter of a trapezium is 58 cm and sum of its non-parallel sides is 20 cm. If its area is 152 cm^{2}, then the distance between the parallel sides, in cms, is:

- 9.8
- 15.2
- 6
- 8

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**Answer: (4) 8 **

**Explanation:- **In the figure-

The sum of non-parallel sides of trapezium = 20 cm

The perimeter of trapezium = 58 cm

Then, the sum of two parallel sides of trapezium = 58 – 20 = 38 cm

The area of the trapezium = 152 sq. cm

**Formula-**

**The area of trapezium = (sum of parallel sides ) x h/2**

Then, 38 x h/2 = 152

19 h = 152

h = 152/19

h = 8 cm

Then, the height of the trapezium is 8 cm.

Hence, the answer is (4) 8 cm.