# 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 cm2, then the distance between the parallel sides, in cms, is:

1. 9.8
2. 15.2
3. 6
4. 8
Monis Rasool Professor Asked on 20th September 2015 in

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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.

Anurag Mishra Professor Answered on 21st September 2015.