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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