Question

The parallel sides of a Trapezium are in the ratio3 : 5 and the area is 384 m square if the distance between the two parallel sides is 12 m then find each parallel side

Answer 1

The formula for area of a parallelogram is: A = bh, where b stands for base and h stands for height.

In this question, we have been given the area and the height (distance between two parallel sides), and we need to figure out the value of the base (length of one of the parallel sides).

Replacing variables A and h with the values we have been given, we get:

420 sq. m = b * 15 m

Now, we solve the equation:

b = 420 sq. m divided by 15 m = 28 m.

So, there you go, the base, or the lengths of both of the parallel sides are 28 m each.

Answer 2

given: area= 384m square
height=12 m

let the ratio be x

so the parallel sides will be 3x and 5x

area of a trapezium
=
1/2×height (sum of parallel sides)

so the equation will be,
1/2×12 (3x+5x)=384
6 (8x)=384
48x = 384
x= 384/48
x=8

3x=24
5x=40

the parallel sides of the trapezium 24cm and 40cm

hope it helps and please mark brainliest