Question

A tree of height 4.5m.broken into three pieces in the ratio 2:3:4.find the length of each piece.

Answer 1

Total parts=9
So 9 parts =4.5
or, 1 part=4.5/9=0.5
Hence 2×0.5=1mt 1st broken part
2nd part=3×0.5=1.5mt
3rd part=4×0.5=2mt

Answer 2

Hello there !

Given that the tree of height 4.5 m broken in three pieces, it means that the total length of the tree is 4.5 m. Given that the ratio of the broken parts is 2 : 3 : 4.

As the ratio of lengths of broken parts is given, lengths can not be 2 m , 3 m and 4 m respectively because there is something common between them. Let the common thing be x.

Now,

Let the lengths of broken parts of the tree are 2x , 3x and 4x.

As broken pieces are the parts of tree, sum of length of broken will equal to the total height of the tree i.e. 4.5 m.

Sum of lengths of broken parts = total height of the tree.

2x + 3x + 4x = 4.5 m.

9x = 4.5 m

x = ( 4 . 5 ) / 9 m

x = 0.5 m

Therefore,

Lengths of broken parts ⇒ 2x = 2( 0.5 m ) = 1m

                                          ⇒ 3x = 3( 0.5 m ) = 1.5 m

                                          ⇒ 4x = 4( 0.5 m ) = 2 m

Length of each part is 1 m , 1.5 m and 2 m.  

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