Question

the area of a Trapezium is 105 CM square if one of the parallel sides is 28cm and the distance between the parallel side is 5 cm find the length of the Other parallel side

Answer 1

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.

Answer 2

Answer:

the length of the other parallel side of the trapezium is 14cm