Question

the parallel sides of trapezium are in the ratio 3:4 .If the distance between the parallel sides is 9 dm and it's area is 126dm2 find the length of it's parallel sides

Answer 1

Answer :

12 dm and 16 dm

Step-by-step explanation :

Let the parallel sides of trapezium be 3x and 4x respectively.

And, height = 9 dm.

According to the question ;

Area of Trapezium = 126 dm²

⇒ 1 / 2 * ( sum of || sides ) * h = 126

⇒ 1 / 2 * ( 3x + 4x ) * 9 = 126

⇒ 9 ( 7x ) = 2 * 126

⇒ 63 x = 252

⇒ x = 252 / 63

⇒ x = 4

Therefore, the parallel sides of a trapezium are :

Parallel side = 3x = 3 * 4 = 12 dm

Parallel side = 4x = 4 * 4 = 16 dm