Calculate Side Length AE in a Parallelogram with Area 63 cm²

To assess whether side $AE$ can be calculated, we generally consider using the formula for the area of a parallelogram, $\text{Area} = \text{base} \times \text{height}$. However, this requires knowing or specifying both the base and height, which are not provided in this problem. Without explicit dimensions or angles that specify $AE$ directly, it is not possible to isolate and calculate $AE$ merely from the area alone.

Given the lack of adequate information about base lengths, height, or angles essential for such calculations, particularly when specific side lengths or geometric properties are needed, we conclude that it is not possible to calculate the length of side $AE$.

Therefore, the appropriate conclusion is that it is not possible to calculate side $AE$ with the information provided.