Question

Draw a line segment 13.5cm and divide it internally in the ratio 2:3:4. Measure each part

Answer 1

Answer:

3cm, 4.5cm 6cm

Step-by-step explanation:

13.5cm x 10 = 135mm (make it simpler)

135mm / (2+3+4) = 15 ( for each 1 part)

Therefore,

15x2=30mm

15x3=45mm

15x4=60mm

Answer 2

Given,

Total length  = 13.5 cm

Ratio by which it is divided  = 2:3:4

To Find,

Length of each part =?

Solution,

Let one part of the line segment be x such that the line segment is divided into 2x, 3x, and 4x parts.

Sum of all 3 parts = Length of the line segment

2x + 3x + 4x = 13.5

9x = 13.5

x = 13.5 / 9

x = 1.5 cm

Length of three parts are:

2x = 2 * 1.5 = 3 cm

3x = 3 * 1.5 = 4.5 cm

4x = 4 * 1.5 = 6 cm

Hence, a line segment of 13.5cm is divided into 3cm, 4.5cm, and 6cm.