Question

the area of a trapezium is 105 cm square if one of the parallel sides is 28 cm and distance between the parallel sides is 5 cm , find the length of the other parallel sides .

Answer 1

Sol:
Area of a trapezium = h 2 (a + b)
Where a and b are parallel sides, h is the distance between the parallel sides.
Area of the trapezium = 105 cm2
One of the parallel sides = 28 cm
Distance between the parallel sides = 5 cm
⇒ Area of the trapezium = 5 2 (28 + b) = 105
⇒ 28 + b = 42
⇒ b = 14
Therefore, length of the other parallel side of the trapezium is 14 cm.

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.