# The parallel sides of trapezium are in ratio 3:4 if the distance between the parallel side is 9 cm and its area is 126 cm² find the length of its parallel sides

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by RUTVI1

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by RUTVI1

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The Brainliest Answer!

Let the common multiple be x. So, the parallel sides are 4x and 3x

Height = 9 cm

Area = 126 cm²

Area of trapezium = 1/2 × (Sum of parallel sides × h

126 = 1/2 × (4x+3x) × 9

126 × 2/9 = 7x

28 = 7x

x = 28/7 = 4 cm

Length of parallel sides >

3x = 3(4) = 12 cm

4x = 4(4) = 16 cm

area of trapezium=(sum of parallel sides/2 )*h

(3x+4x/2)*9=126

(7x/2)9=126

63x/2=126

x=(126*2)/63=4

hence the sides are 3x=3*4=12cm

and 4x=4*4=16cm