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Area of trapezium = 0.5(sum of parallel sides)*height
So, 180 = 0.5*(sum of parallel sides)*9
So Sum of parallel sides = 40 cm.

If the smaller parallel side is x cm, then the larger side is x+6 cm and their sum is 40 cm
so x + x+6 = 40 or 2x = 34 or x = 17 and x+6 = 23.

The two parallel sides are 17 and 23 cm.

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Q: The area of a trapezium is 180 cm square and its height is 9 cmif one of its parallel sides is longer than the other by 6 cm find the two parallel sides?
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