1. The problem states that the area of quadrilateral ADEF is 6 cm² and asks for the area of quadrilateral AD'E'F'. 2. To find the area of AD'E'F', we need to understand the relationship between ADEF and AD'E'F'. 3. Typically, if D', E', F' are images of D, E, F under a transformation such as dilation or scaling, the area changes by the square of the scale factor. 4. Let the scale factor be $k$. Then, the area of AD'E'F' is $k^2$ times the area of ADEF. 5. Without additional information about the scale factor or the transformation, we cannot numerically determine the area of AD'E'F'. 6. If you provide the scale factor or the ratio of corresponding sides, we can calculate the area as $$\text{Area of } AD'E'F' = k^2 \times 6.$$