>>1779438it´s related, but not completely. If you keep the same wingspan but increase the wing cord you´ll reduce the wing loading, thus increasing the lift and reducing the angle of attack you need at a given speed (making it more sensitive to turbulence), but the induced drag won´t change in a significant way.
If it doesn´t seem intuitive, think of wingspan as the dimension that determines the area of air that is displaced downwards to keep a place flying, while wing cord multiplies the speed that air can be sent downward. You can create the same lift by sending a lot of air slowly downwards or a little amount of air going very fast, but the former is going to cost a lot less energy.
However low span loading/high wing loading combination isn´t without it´s disadvantages - it´s got a very small aoa range to work with, meaning very little margin between cruising and stalling, it requires more elaborate flaps/slats to produce enough lift at low speed, the thinner wing structure has to be heavier to keep it from snapping, and there´s less internal volume to carry fuel or other useful loads.
It´s not like i´m coming up with a new formula either, as it is basically what makes the mitsubishi mu-2 work. But it would match what you wanted better.
