**Aman Senapati**

**Given,**

*Area of trapezium ABCE = 475 sq.cm**Height = 19 cm.**one side is 4 cm greater than the other.*

__Area of trapezium = 1/2 ( sum of // sides ) * H__

__let the // sides of trapezium are x and x + 4.__

__475 sq.cm = 1/2 ( x + x + 4) * 19cm.__

__475/19__*= 2x + 42 *

*25 * 2 = 2x + 4*

*50 - 4 = 2x*

*46 cm = 2x*

*46/2 = x*

*23=x *

*x + 4 = 23 + 4 = 27.*

*∴ // sides of trapezium are 23 cm and 27 cm.*

*-Answered by Aman Senapati* On 25 May 2020:10:02:27 AM