The equivalent resistance of resistors connected in parallel is

In our problem, we have 5 identical resistor of resistance

, so their equivalent resistance is

The problem also says that the equivalent resistance is

, so we can find the resistance R of each piece of wire:

In the initial wire, it's like the 5 pieces are connected in series, so the equivalent resistance of the wire is just the sum of the resistances of the 5 pieces:
