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

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

a) 15 cm, 21 cm

b) 14 cm, 20 cm

c) 17 cm, 23 cm

d) 12 cm, 18 cm

Sol:

Let one of the parallel sides be x cm. and other be (x + 6) cm.

Area of a trap.

Image 218

40 = 2x + 6

=>x=17

Two parallel sides are 17cm and 23 cm.

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