One metre square is a bit of a challenge, but it could be made from one of these products with a bit of hacking;
A microcontroller would process the resistances and turn on the lights.
It may not be very reliable. It depends on the underlying surface, how long it has to last, and if it has to handle very sharp high heeled shoes.
In an industrial environment, an area of floor could be removed and a metal floor plate would rest on a load cell, or several load cells, e.g.
A microcontroller would take continuous measurements and turn on lights when mass exceeds a preset value.
For turning on lights, it is more common to use a passive infrared (PIR) motion sensor, but they have a field of view greater than one metre square, may not work in areas of high heat, may trigger spontaneously, and (if used for security) can be defeated with thermal cloaking.
Hope that helps!