Question 58
Consider a cube $A B C D E F G H$, where $A B C D$ and $E F G H$ are faces, and segments $A E$, $B F$, $C G$, $D H$ are edges of the cube. Let $P$ be the center of face $E F G H$, and let $O$ be the center of the cube. Given that $A G=1$, determine the area of triangle $A O P$.