Area of a parallelogram A = 4⨯6⨯sin(125 ͦ ) < B

Dear Peter Breuer 

But the area of ABCD = 6x4 = 24 is it?

So wouldn't it be Quantity A = 24 and Quantity B = 24

And the answer is C?

Dear Peter Breuer 

I am a bit out of touch with geometry since I've learned it many years ago during high school days. I just wanted clear off with the confusion that arose with this question.

I was expecting an answer like what was given by Viera Čerňanová.

My apologies if you misunderstood something.

a simple drawing ...

The correct answer i B

You need no trig to answer this one. Just cut a right triangle off of the left side and past it to the right and you get a rectangle of base 4 with height < 6. B