R=pL/A (Resistance = resistivity (ohms/m) x length / cross sectional area) ?

Resistance = resistivity x length / area

Resistance / resistivity =length/area

[ Resistance X area ] / Resistivity =Length

Length = [ Resistance X cross-sectional area ] / Resistivity

[*Length is in meter
Resistance is in ohms
cross-sectional area is in meter^2 [ square meter]
Resistivity is in ohms-meter.

So, unit of length is,

=ohms x meter^2 divided by ohms-meter

=ohms x meter x meter / ohms-meter

=meter

Resistance of a wire
R = ρL/A
ρ is resistivity of the material
L is length in meters
A is cross-sectional area in m²

R = ρL/A
RA = ρL
L = RA/ρ

.

R is not equal to (resistivity) x [(length) / (cross sectional area)]

R is equal to resistivity in ohms per meter x length in meters.

Therefore R = pL and

L = R/p

Note : The cross sectional area of the wire was taken into consideration when the resistivity of the conductor was determined.

Edit addition; I was dead a$s wrong in my answer to this question. My apologies to all, especially to the asker.

Addition 2. I am still a bit confused it appears resistivity must be in units of (ohm) x (meters) rather than the way the asker stated it (ohms / meter) other wise in the equation the length would turn out to be in cubic meters instead of meters. Somebody straighten me out a little bit.

Resistance Cross Sectional Area

by applying axial load which is lesser than the yield strength of the metallic wire we can expand it elastically even at this point care should be taken not to cross the yield stress at which point the material will undergo reduction in cross section. if within the elastic limit of the wire we apply a load the resilience will be there in the material just as in a spring without altering the volume it will expand in length and contract in cross section, the effect will be reversible once we remove the static load, wherein the material regains its original area of cross section and original length. but this only proves that the material wire cannot be expanded even within its elastic limit without changing the cross section, then volume remains unaffected.

example; copper s resistivity of the material : 16,78 nΩ·m (20°C)