10. The decagon $A B C D P Q R S T U V W$ has two parallel bases: square $A B C D$ and octagon $P Q R S T U V W$, all angles of which are equal, and eight lateral faces: triangles $A P Q, B R S, C T U, D V W$ and rectangles $D A P W, A B R Q, B C T S$ and $C D V U$. It is known that the area of the section of the decagon by a plane passing through points $B, U$ and $W$ is $\frac{2744}{2925}$, $|A B|=1 / 9$, and $|P Q|=2 \sqrt{2} / 9$. Find the distance between the bases of the decagon. Write the found value in the answer, rounding it if necessary.
Answer: 3.32 . (The exact value $\sqrt{11}(m=1 / 9, k=2)$.)