Question

a rope measuring 238cm is cut into 3 pieces in the 3:5:6 . calculate the length of the shortest piece of rope

Answer 1

3x+5x+6x=238
so here 14x=238
therefore x=238/14=17
shortest piece of rope is 3x=3*17=51cm

Answer 2

Hey friend , Harish here.

Here is your answer:

Given that,

Length of rope = 238 cm

The ratio of the pieces cutted = 3:5:6

To find, 

Length of the shortest piece of rope.

Solution, 

Let the length of cut ropes be 3x, 5x, 6x.

Then, 

[tex]3x+5x+6x=238 [/tex]

$14x=238$

$x= \frac{238}{14}$

$x = 17$

The length of shortest piece = 3x = 3×17 = 51 cm

Therefore length of shortest piece is 51cm.
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Hope my answer is helpful to you.