6. Through the midpoints of sides $A B$ and $A D$ of the base of a regular quadrilateral pyramid $S A B C D$, a plane is drawn parallel to the median of the lateral face $S D C$, drawn from vertex $D$. Find the area of the section of the pyramid by this plane, if the side of the base of the pyramid is 2, and

the lateral edge is 6.
Answer: $S=\frac{15 \sqrt{2}}{4}$.

Criteria for checking works, 11th grade

Preliminary round of the sectoral physics and mathematics olympiad for school students "Rosatom", mathematics, Moscow

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