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Area of trapezium with parallel sides a and b and the distance between two parallel sides as h ​

Answer» ONG>Answer:

The length of the parallel SIDES of a trapezium are in the rat: 3:2 and the distance between them is 10 cm. If the area of trapezium is 325 cm?, find the length of the parallel sides.

Solution:

Let the common RATIO be x,

Then the two parallel sides are 3x, 2x

Distance between them = 10 cm Area of trapezium = 325 cm?

Area of trapezium = 1/2 (p, + P2) h

325 = 1/2 (3x + 2x) 10

325 = 5x x 5

- 325 = 25x

» X= 325/25

Therefore, 3x = 3 x 13 = 39 and 2x = 2 x

13 = 26



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