If a linear distance is halved, the area is divided by 4 (1/2 x 1/2)

Don't worry though, the weight (which is related to the volume (1/2 x 1/2 x 1/2)) reduces by 8, so your half scale model will be only one eighth the weight.

Since the wing area was divided by 4 and the weight by 8 the wing loading has halved.

This 'scale factor' (which affects other factors too) is one of the main problems in designing models of anything.

-David C.