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Question

The lengths of the parallel sides of a trapezium are in the ratio 5:3 and the distance between them is 12.5 cm. If the area of the trapezium is 450 cm2, find the lengths of its parallel sides.

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Solution

Length of parallel sides are in ratio 5:3 Let the larger side =5x
Smaller side =3x
h=12.5 cm
Area =12 (Sum of parallel sides)× (height)
450=12(5x+3x)(12.5)
450=12(8x)(12.5)=50x
x=115050=9
length of larger side =5x=45 cm
Smaller side =3x=27 cm

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