Question

the area of trapezium is 180 cm square its parallel sides are in the ratio 1 is to 3 and the distance between them is 6 cm find the length of each of the parallel sides

Answer 1

Lenght of two parallel sides are 15 and 45 cm.

Hope it helps you!!!

pls mark brainliest

Answer 2

The length of each of the parallel sides are 15 cm and 45 cm

Step-by-step explanation:

We are given that  parallel sides of trapezium are in the ratio 1 : 3

let the ratio be x

Parallel sides are x and 3x

Distance between parallel lines = 6 cm

Area of trapezium = $\frac{1}{2}(\text{Sum of parallel sides}) \times Height$

Area of trapezium =$\frac{1}{2}(x+3x) \times 6$

We are given that  area of trapezium is 180 cm square

So,$\frac{1}{2}(x+3x) \times 6 = 180$

$4x \times 6 = 180 \times 2\\x=\frac{180 \times 2}{4 \times 6}\\x=15$

Parallel sides are:

x = 15

3x=3(15)=45

Hence the length of each of the parallel sides are 15 cm and 45 cm

#Learn more:

The ratio of the length of the parallel sides of a Trapezium is 5:3 and the distance between them is 16 cm if the area of trapezium is 960 CM square find the length of the parallel sides

https://brainly.in/question/1967355