Question

6. A line segment of length 24 cm is divided into three parts in the ratio 1:2:3. Find the length of each
part.
​

Answer 1

Answer

The line segment is divided into 4cm, 8cm and 12cm.

Step-by-step explanation:

To Find :-

• The length of each part of line segment.

★ Solution

Given that,

• The total length of line segment = 24cm
• The line segment is divided into 1:2:3

Assumption

Let us assume the ratio as 1x, 2x and 3x.

∴ 1x + 2x + 3x = Total length of line segment [24cm]

⇒ 1x + 2x + 3x = 24

⇒ 3x + 3x = 24

⇒ 6x = 24

⇒ x = 24/6

⇒ x = 4

The value of x is 4.

Now, The parts of line segment are :-

• 1x = 1*4 = 4cm
• 2x = 2*4 = 8cm
• 3x = 3*4 = 12cm

V E R I F I C A T I O N :-

• 1x + 2x + 3x = 24

By putting the value (1x), (2x) and (3x) in L.H.S :-

⇒ 1x + 2x + 3x

⇒ 4 + 8 + 12

⇒ 4 + 20

⇒ 24

So, L.H.S = R.H.S = 24

Hence, Verified!