Question

two wires are 84cm and 288cm long. The wires are to be cut into pieces of equal length. Find the maximum length of each piece.

Answer 1

Answer:

For 84 cm wire max length is 42cm and for 288 cm its 144cm

Answer 2

$Lengths \: of \: two \:wires \: are \: 84\:cm \\and \: 288\:cm$

/* According to the problem given */

The wires are to be cut into pieces of equal length

$So, we \:have \: to \:find \: out \: the \: H.C.F \\of \: 84 \:and \:288$

84| 288 | 3

**** 252

_____________

****** 36| 84 | 2

***********72

_______________

************ 12| 36 |3

**************** 36

________________

Remainder (0)

________________

Therefore.,

$\red{ Maximum \: length \: of \:each \:piece } \green {= 12 }$

•••♪