The electrical resistance of a wire, R, varies directly as its length, L, and inversely as its cross-sectional area, A. If the resistance of a wire is 0.2 ohm when the length is 200 ft and its cross-sectional area is 0.05 in.²,what is the resistance of a wire whose length is 5000 ft with a cross-sectional area of 0.01 in.²?

(a) Write the variation equation.

(b) Determine the quantity indicated.