Everyone knows that if you have a square with sides each of 2cm, the area is 4cm2, or is it?
Everyone knows that if you have a shape, its area does not change. if you make a shape out of shapes, then the bigger shapes area does not change either… no matter how you re-arrange the bits…
Justifying this another way… If you have a large area, and cut it into smaller parts, the area you get when you put it back together has to be the same…
so how does this work…
Thanks Robin (and Liz) for eventually sorting this out for me.
Total area is the same in both. The two triangles have different gradients so there is a bump in the middle of the joint of the two triangles on the lower picture and a dip on the top picture.