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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.

Correct Answer: 27 and 23

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.


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