Question

The area of trapezium 105cm*2. if one of the parallel sides is 28cm and the distance between the parallel sides is 5cm find the length of the parallel side

Answer 1

See the attach file for ur ans

Answer 2

Answer :


The other side of the trapezium is 14 cm.


Step-by-step explanation :


Let the other parallel side of the trapezium be x.


So, here we know that,


Area of trapezium = 1 / 2 * ( sum of || sides ) * distance between them.


But, here area of trapezium = 105 cm² given.


∴ 1 / 2 * ( a + b ) * 5 = 105


⇒ 1 / 2 * ( 28 + x ) * 5 = 105


⇒ 5 ( x + 28 ) = 105 * 2


⇒ 5x + 140 = 210


⇒ 5x = 210 - 140


⇒ 5x = 70


⇒ x = 70 / 5


⇒ x = 14 cm


Hence, the other side of the trapezium is 14 cm.