Overlapped right angle triangles

There is a right-angled isosceles triangle ABC.

There is another right triangle DBE width is shorter than ABC by 3 cm and length is longer than ABC by 6 cm.

The figure shows two triangles overlap.

The point F is an intersection of AC and DE.

The ratio of the area of triangle CEF to ADF is 3 : 8.

Find the area of triangle ABC.

Answer