Answer:
16 cm^2
Explanation:
Given
-- Bigger Triangle
-- Smaller Triangle
--- Scale factor
Area of CBD = 9
Required
Determine the area of CAE
The area of triangle CBD is:


The area of CAE is:

Where:
and

The above values is the dimension of the larger triangle (after dilation).
So, we have:



Re-order


Recall that:



Hence, the area is 16 cm^2