Concept: The question tests on the application of Geometry in a DS format
AB is parallel to BC as both are 90 degrees
Also Area of Triangle ADC = Area of triangle BDC as triangles lying on the same base and between 2 parallel lines have the same areas.
Therefore AED + DEC = DEC + BEC
or Area of ΔAED = Area of ΔBEC
Statement 1: Area of ΔAED is 16
From this area of ΔBEC is 16
Answer options could be A or D.
Statement 1 is Sufficient
Statement 2: ΔDEC is 12
This statement does not help in getting the area of ΔBEC as we do not have the area of ΔBDC
Statement 2 alone is insufficient.