First of all , you have not specified any details regarding where you are implementing your method or what kind of circuit you are developing.
The thing is , increasing area of your circuit wont affect your power consumption directly , what it will do is arrange proper power dissipation of HEAT ENERGY generated in every circuit due to JOULE'S LAW.
Just consider for example a small HEAT -SINK used in back of IC's and the larger heat sinks that can be seen inside your PC CPU
it is nothing but providing larger surface area for proper power dissipation in air in form of heat.