The resistance of a given conductor depends on its electrical resistivity ([tex]\rho[/tex]), its length(L) and its cross-sectional area (A), as follows:
[tex]R=\frac{\rho L}{A}[/tex]
In this case, we have [tex]L'=138L[/tex], [tex]\rho'=\rho[/tex] and [tex]A'=A[/tex]. So, the total resistance of the wire with length of 138m is:
[tex]R'=\frac{\rho' L'}{A'}\\R'=\frac{\rho 138L}{A}\\R'=138\frac{\rho L}{A}\\R'=138R\\R'=138(0.24\Omega)\\R'=33.12\Omega[/tex]
