smc

If $P_1{P}_2{P}_3{P}_4{P}_5{P}_6$ is a regular hexagon whose apothem (distance from the center to midpoint of a side) is $2$, and $Q_i$ is the midpoint of side $P_i{P}_{i+1}$ for $i=1,2,3,4$, then the area of quadrilateral $Q_1{Q}_2{Q}_3{Q}_4$ is