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Q.

The area of a trapezium is 180cm2  and its height is 9 cm. If one of the parallel sides is longer than other by 6 cm, the length of the longer of the parallel sides is

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a

23 cm

b

24 cm

c

17 cm 

d

18 cm 

answer is B.

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Detailed Solution

Let one of the parallel side be x another side will be x + 6
Area of trapezium  12×h×(a+b)=180cm2
12×9×(x+x+6)=1802x+6=180×29x=17cm
Longer side is =x+6 =17+6 =23 cm

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