well, the formula for resistance is R=PL / A where L=length. lets choose random numbers to start with, say 1, 2 and 3, and plonk them in the formula. so 1*2 / 3 which equals 0.666666... now, lets triple L so now the formula is 1*6 / 3 equals 2, which is triple 0.666666... so now lets check with different numbers, say 5,7 and 14. 5*7 / 14 equals 2.5. now we triple L to get 5*21 / 14 equals 7.5 . so if the length triples, so does the resistance.