Question

the length of the parallel sides of trapezium are in the ratio 3:5 and the distance between the two parallel side is 10 cm if the area of trapezium is 120 CM square find the length of the parallel side​

Answer 1

Answer:

area of trapezium = 1/2 x sum of parallel sides x height

let the ratio be simplified as 3x and 5x

1/2(3x+5x)10 = 120

8x x 10/2 = 120

x= 120/40

x=30

the sides are 90 and 150cm

Step-by-step explanation:

HOPE it helps

Answer 2

Answer:

9 and 15 cm

Step-by-step explanation:

Given:

Height of trapezium = 10cm

Area of trapezium = 120cm²

Ratio of parallel sides = 3:5

Lets say Parallel sides are 3x and 5x

So sum of Parallel sides = 3x+5x=8x

Area of trapezium = height(sum of parallel sides)/2 = 120cm²

Substituting the values we get:

120 = 10(8x)/2

120 = 5(8x)

120 = 40x

x = 120/40

x = 3

So the sides are:

3(x) = 3(3) = 9cm

5(x) = 5(3) = 15cm