In a food processor, stand mixer, or with a handheld mixer, cream the softened butter and icing sugar together until well combined.
Add the flour and pinch of salt and mix until the dough comes together.
Press the dough into a lined lamington tray using wet hands or a floured spoon to get it evenly into the corners.
Refrigerate the base for 15 minutes.
Bake at 160°C fan-forced (180°C conventional) for 15 minutes. (320°F fan-forced or 350°F fan-forced)
While the base cools slightly, prepare the filling.
In a large bowl, whisk together the eggs and caster sugar until combined.
Add the flour, baking powder, lemon rind, and lemon juice. Stir or whisk until just combined.
Pour the filling over the cooled base and return to the oven.
Bake for 30–40 minutes or until the filling is set and lightly golden on top.
Allow to cool completely, then refrigerate for at least 1 hour before slicing.
Dust with sifted icing sugar (powdered sugar) before serving.
Wonderful served with whipped cream as a dessert.