The area of a trapqzium is 384 cm^{2}. Its parallel sides are in the ratio 3 : 5 and the perpendicular distance between them is 12 cm. Find the length of each one of the parallel sides.

Let the length of one parallel side of trapezium =

Length of other parallel side of trapezium =

Area of trapezium = 384 cm^{2}

Distance between parallel sides = 12 cm

Area of trapezium =

384 =

Therefore length of one parallel side of trapezium = 3x = 3× 8 = 24 cm

Length of other parallel side of trapezium = 5x = 5× 8 = 40 cm

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