Area of parallelogram = (base)(height)
Area of rectangle= (base)(height)

KEY CONCEPT: If ∠BAD were 90°, then quadrilateral BADC would be a rectangle.
As a rectangle, the base would have length 3 and the height would be 5
So, the area WOULD be 15


However, since ∠BAD is actually 65°, the height of the quadrilateral must be LESS THAN 5 (parallelogram BADC is basically a rectangle that has been "pushed over" to be made shorter).
So, area of BADC = (3)(some value that LESS THAN 5)
= some value that's LESS THAN 15

So, we have:
Quantity A: 15
Quantity B: some value that's LESS THAN 15

Answer: A