The difference between two parallel sides of a trapezium is 4 cm perpendicular distance between them...........

Quantitative Aptitude ( CCS) Mensuration 2D

The difference between two parallel sides of a trapezium is 4 cm. perpendicular distance between them is 19 cm. If the area of the trapezium is 475 find the lengths of the parallel sides.

27 and 23

24 and 23

25 and 23

22 and 23

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Explanation:

Let the two parallel sides of the trapezium be a cm and b cm.
Then, a - b = 4
And, (1/2)×(a+b)×19=475
=>(a+b)=50
Solving (i) and (ii), we get: a = 27, b = 23.
So, the two parallel sides are 27 cm and 23 cm.