Question 22
The diagonals of the quadrilateral $ABDE$ meet at $C$. The segments $AB$ and $CE$ are of equal length 8 cm, and the segments $AE$ and $CD$ are also of equal length. The perimeter of the triangle $CDE$ is 35 cm. Given that $\angle BAC = \angle AEC$, find the perimeter of the pentagon $ABCDE$.