The area of a trapezium is 180 cm² 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.
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Area = 180cm2
Height = 9m
LEt one of the sides be x
Then the other side will be x+ 6
We know, Area of atrapeziun,
= 1/2 * sum of parallel sides * heighgt
180= 1/2 * (x + x+ 6) * 9
180 = 1/2 * (2x + 6) * 9
360 = (2x + 6) *9
360 = 18x + 54
360 - 54 = 18x
306 = 18x
x = 17cm
Other side = 17 + 6 =23 cm
Height = 9m
LEt one of the sides be x
Then the other side will be x+ 6
We know, Area of atrapeziun,
= 1/2 * sum of parallel sides * heighgt
180= 1/2 * (x + x+ 6) * 9
180 = 1/2 * (2x + 6) * 9
360 = (2x + 6) *9
360 = 18x + 54
360 - 54 = 18x
306 = 18x
x = 17cm
Other side = 17 + 6 =23 cm
shivangi93:
it is right answer...thanks
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