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.
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1 thought on “6. A line segment of length 24 cm is divided into three parts in the ratio 1:2:3. Find the length of each<br />part.<br />​”

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!

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