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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 Mathematics » Herons Formula

Aman Senapati

Given,

1. Area of trapezium ABCE = 475 sq.cm
2. Height = 19 cm.
3. 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(18248Average Rating Based on rating)

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