**Question 1.** **Asked on :**25 May 2020:09:59:05 AM

Q-2)The area of a trapezium is 475 cm sq. and the height is 19 cm.Find the lengths of its two parallel sides if one side is 4 cm greater than the other.

*-Added by Aman Senapati*

**Answer:**

**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

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