When a Box Rests on a Round Sheet of Wood $p$

Multiple Choice

When a box rests on a round sheet of wood on the ground, it exerts an average pressure $p$ on the wood. If the wood is replaced by a sheet that has half the diameter of the original piece, what is the new average pressure?

A) $2 p$
B) $p / 4$
C) $4 p$
D) $p \sqrt { 2 }$
E) $p / 2$