Question

Draw a line segment of length 8 cm and divide it in the ratio 2:3​

Answer 1

Answer:

one part measure 3.2 cm and other part measure

4.8 cm.

Step-by-step explanation:

sum of ratio is 5

measure of line segment is 8 cm

8 cm ÷ 5 = 1.6 cm

ratio of part is 2:5

measure of one part = 1.6 cm × 2 = 3.2 cm

measure of other part = 1.6 cm × 3 = 4.8 cm

Answer 2

The length of the line segment = 3.2 cm and 4.8 cm.

Step-by-step explanation:

let us consider a variable x such that

                     2x + 3x = 8 [Since the length of the line segment is 8]

           5x = 8

           x = 8/5

           x = 1.6 cm

As the line segment is of the ratio 2:3

The length of the line segments will be 2x and 3x

By substituting x = 1.6 in 2x and 3x we get 3.2 and 4.8 cm