The area of a trapezium is `384\ c m^2` . Its parallel sides are in the ratio 3:5 and the perpendicular distance between them is 12cm. Find the length of each one of the parallel sides.

Explanation

let one of parallel side `=3x cm`
another side `=5x cm`

area of trapezium`=1/2xx`(add of bases)`xxheight`
according to question
`384cm^2=1/2xx(3x+5x)xx12cm`
`x=8`
so 1st side`=3xx8cm`
`=24cm`
2nd side `=5xx8cm`
`=40cm`