A wire of length 30m has been divided into 6 pieces of the same length. What is the length of each piece?
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Answers
Answer:
Given:
The total length of the rope = 13\frac{1}{2}13
2
1
m = \frac{27}{2}
2
27
m
The rope is divided into 9 pieces of equal length
To find:
The length of each piece
Solution:
We can find the length of each of the piece in the following way:
[Total Length of the rope] = [no. of pieces of the rope divided] × [Length of each piece]
Now, we will substitute the given values and find the length of each piece
∴ \frac{27}{2} = 9 \times [Length\:of\:each\:piece]
2
27
=9×[Lengthofeachpiece]
⇒ 13.5 = 9 \times [Length\:of\:each\:piece]13.5=9×[Lengthofeachpiece]
⇒ Length\:of\:each\:piece = \frac{13.5}{9}Lengthofeachpiece=
9
13.5
⇒ Length\:of\:each\:piece = \frac{4.5}{3}Lengthofeachpiece=
3
4.5
⇒ Length\:of\:each\:piece =\bold{1.5\:m}Lengthofeachpiece=1.5m
Thus, the length of each piece is 1.5 m.
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