Question

A 30 cm iong line segment is to be divided into two parts in the ratio of 2:3. Find the length of each part.​

Answer 1

Answer:

length of part 1 = 12 cm

length of part 2 = 18 cm

Step-by-step explanation:

given, the line segment 30 cm long is divided in the ratio 2:3

let the first part be 2x and second part be 3x

2x + 3x = 30

5x = 30

⇒ x = 30/5

⇒ x= 6

the common multiple is 6

so the first part = 2*6 = 12 cm

second part = 3*6 = 18 cm

therefore, when the line segment of length 30cm is divided in the ratio 2:3, respective length of each part is 12cm and 18cm