Question

The difference between two parallel sides of a trapezium is 8 m. The perpendicular distance between them. is 24m. Find the length of the two parallel sides, if the area of the trapezium is 312m^2.​

Answer 1

Answer:

9m

Step-by-step explanation:

Let x and y are the two parallel sides of trapezium

Then a−b=8m→1

Now,

2

1

×(a+b)×24=312㎡

⇒a+b=

24

312×2

=26⇒a+b=26→2

Solving 1 and 2, we get

2a=34⇒a=17m

And 17−b=8⇒b=9m