
5.2.4.43 Various problems on the plane
condition: Given a convex quadrilateral \( A B C D \). The lines \( A D \) and \( B C \) intersect at the point \( N, \mathrm{a} \) and the lines \( C D \) and \( A B \) at the point \( M \). The ratio of the segments \( C D \) and \( C M \) is \( 22: 3 \), the area of the triangle \( A B N \) is \( 2 / 11 \), and the area of the triangle \( B M N-3 / 11 \). Find the area of the triangle \( A C D \).