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The two parallel sides of a trapezium are in the ratio 3 : 2, and the perpendicular distance between them is 15 cm. If the area of the trapezium is 1350 sq. cm, what is the positive difference between the lengths of the two parallel sides?

1. 95 cm
2. 21 cm
3. 36 cm
4. 65 cm

Correct answer: 36 cm

Solution

Setting the parallel sides as 3x and 2x, the area formula gives (1/2)(5x)(15) = 1350, so x = 36. The sides are 108 cm and 72 cm, and their difference is 36 cm.

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