Question

A rope of length 131/2 m has been divided into 9 pieces of the same length. What is the length of each piece?​

Answer 1

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.