KCC's Quizzes AQQ261 about a rectangle area

Area = 96

Admittedly, the drawing in the statement is not exact, but it seems to me that the one I propose above is.

Yeah, there is a paradox here! Have you seen the conclusions made by the other participants (i.e. such rectangle cannot exit)?

Thank you very much, dear KCC, for your answers and your enormous work that keeps this magnificent forum alive!

Yes, I've read several comments on this subject.

Admittedly, the figure provided in the statement does not correspond to the lengths found in the algebraic study. It's not a plan to scale, but a drawing that allows us to deduce and express relationships between letters x and y (unknown at the outset). Equations are thus obtained which provide us with the values of x and y.
From these numerical values, I simply constructed a step-by-step graph expressing the various lengths obtained and showing the rectangle ABCD, whose area can be verified as 96. I then plotted y-2=1 along its length and y=9 along its width to define the yellow rectangle whose area =9 is given in the statement.
As a result, I don't understand why this rectangle ABCD can't exist, given that it does exist on my figure... that I can draw it on a sheet of paper and cut it out.
Perhaps I've made a mistake, but I can't see it? Please let me know if you find it!

Thank you very much, dear KCC, for your answers and your enormous work that keeps this magnificent forum alive!

Yes, I've read several comments on this subject.

Admittedly, the figure provided in the statement does not correspond to the lengths found in the algebraic study. It's not a plan to scale, but a drawing that allows us to deduce and express relationships between letters x and y (unknown at the outset). Equations are thus obtained which provide us with the values of x and y.
From these numerical values, I simply constructed a step-by-step graph expressing the various lengths obtained and showing the rectangle ABCD, whose area can be verified as 96. I then plotted y-2=1 along its length and y=9 along its width to define the yellow rectangle whose area =9 is given in the statement.
As a result, I don't understand why this rectangle ABCD can't exist, given that it does exist on my figure... that I can draw it on a sheet of paper and cut it out.
Perhaps I've made a mistake, but I can't see it? Please let me know if you find it!

Yes, by re-adapting the figure with the new data. The rectangle higth from the right is y+something with y=9.

But seen for the left side (x-4) it's x-4 = 12-4 = 8 cm. The paradox is y, in the figure, should appear far shorter than the total height.

Thank you very much for your explanations, which really enlightened me!

You ae welcome! For this quiz, you can observe there are participants convinced the rectangle area is 96 and many others vote for an impossible rectangle. Let's leave than as a sort of status quo...