Question

the area of trapezium is 495 cm² .its parallel sides are in the ratio 4 : 7 and the perpendicular distance between them is 10 cm .find the length of parallel sides ​

Answer 1

Answer:

36 and 63 cm

Explanation:

let the parallel sides be x

then the 4x:7x

Area of trapezium = 1/2 ( sum of parallel sides) * h

495 = 1/2 ( 4x + 7x) * 10

495 = 5 ( 4x + 7x)

20x + 35x = 495

55x. = 495

x. = 495 / 55

= 9

Now

4x = 4* 9 = 36 cm

7x = 7 * 9 = 63 cm

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