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.

Option A