The resistance of a conductor is given by
[tex]R= \frac{\rho L}{A} [/tex]
where L is the length of the wire, [tex]\rho[/tex] the resistivity of the material and A the cross-sectional area.
We can see that if all the other quantities do not change, if the new length of the conductor is 4 times the original length: [tex]L'=4 L[/tex], then the new resistance is also 4 times the original value:
[tex]R'= \frac{\rho L'}{A}= \frac{\rho 4 L}{A}=4 \frac{\rho L}{A}=4 R [/tex]
