VTMO 2026 - Grade 10 - Semifinal - SET 1 - Self-study Question 10

Square $ABCD$ has side $AB=4$ cm. Points $M,N,P,Q$ are the respective midpoints of $AB,BC,CD,DA$. Points $X,Y,Z,T$ are the respective midpoints of $AM,BN,CP,DQ$. Find the area of the intersection of squares $MNPQ$ and $XYZT$.