Fibonacci's Cheat: 64 = 65?

yes i saw it appearing many times in this thread, and assumed it is simpler. but no one explained, you and rust were all like "2/5 != 3/8 kthxbai". so i chose to ignore it because i couldnt even understand what you two are speaking about (and i still dont understand, explanation anybody?)

Yes. Look at the gradients of the two lines on the blue and red shapes. They aren't the same.
Also, if you look at the top right corner of the "65 square" rectangle, they don't align properly.

If the gradients of the two lines are not the same, then the there isnt 1 line connecting the points AC, but 2. Therefore the shape ABC can't be a triangle, it has to be a quadrilateral.