Question

A 12.5 m long rod is cut into few equal pieces.if each piece is 0.25 long,find the number of pieces obtained.what must be the total length of the rod if 35 pieces are required each of length 0.5m.

Answer 1

$Given \: Total \: length \:of \:the \:rod = 12.5\:m$

/* According to the problem given */

If long rod cut into some equal pieces of length 0.25 m.

$i ) length \:of \:equal \: small \:piece = 0.25 \:m$

$Let \: number \: equal \: pieces = n$

$n = \frac{ Total \: length \:of \: the \:rod}{length \:each \:small \:piece }$

$= \frac{12.5}{0.25}$

$= 50$

$\therefore \red{ Number \: small \: pieces } \green { = 50}$

$ii) length \:of \:equal \: small \:piece = 0.5 \:m$

$number \: equal \: pieces = 35$

$\blue{Total \: length \:of \: the \:rod}$

$= length \:each \:small \:piece \times number \: of \: pieces$

$= 0.5 \: m \times 35$

$= 17.5 \:m$

$\therefore \red{ Total \: length \:of \: the \:rod} \green { = 17.5 \:m }$

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