Question

If the area of a trapezium is 286 sq.Cm and its height is 13 cm.What is the sum of its parallel sides?If one of these sides is 20c.M.What is the length of the other ?

Answer 1

Answer:

The other parallel side is 24 cm.

Step-by-step explanation:

Height (h) = 13 cm

One parallel side (a) = 20 cm

Let the Second parallel side be b.

Then, Area = (13/2)(20+b)

But, given area = 286 cm²

Thus, (13/2)(20+b) = 286

Or, 20+b = 286*2/13 = 44

Or, b = 44 - 20 = 24

Hence, the other parallel side is 24 cm.

Answer 2

Given :-

The area of the trapezium = 286 cm sq.

The height (h) of the trapezium = 13 cm

On of the parallel side of the trapezium = 20 cm

To be found :

The length of the other parallel side

Let,

The another parallel side be x cm.

We know that,

Area of the trapezium = $\bf \frac{1}{2}\times(sum\:\:of \:\:parallels)\times height$

⇒ 286 =  $\bf \frac{1}{2}\times(20 + x)\times 13$

⇒ 286 =  $\bf \frac{13}{2}\times(20 + x)$

⇒ $\bf 286 \times \frac{2}{13} = 20+x$

⇒ 44 = 20 + x

⇒ 44 - 20 = x

⇒ 24 = x

Hence,

The length of another parallel side = x cm = 24 cm