Question

a rope of length 13 whole 1 upon 2 metre 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 = $13\frac{1}{2}$ m = $\frac{27}{2}$ 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

∴ $\frac{27}{2} = 9 \times [Length\:of\:each\:piece]$

⇒ $13.5 = 9 \times [Length\:of\:each\:piece]$

⇒ $Length\:of\:each\:piece = \frac{13.5}{9}$

⇒ $Length\:of\:each\:piece = \frac{4.5}{3}$

⇒ $Length\:of\:each\:piece =\bold{1.5\:m}$

Thus, the length of each piece is 1.5 m.

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