Thanks again for all the replies everyone. Sorry, I messed up the measurements, mm instead of cm..
@plugwash I'm in SE UK. Forgive the Americanism, socket then?
@JohnD Looking at the prices of heated towel racks on
screwfix, they're a wee bit pricey. I was hoping for something more round the £50 mark. Would any of the ones on amazon for around £50 be ok to use? Or would they not throw out enough heat to be used as a heater?