Hooper's paradox

Geometry Level 2

An $8 \times 8$ square with area 64 is split into 4 pieces, as shown on the left. Then, the 4 pieces are rearranged to form a $13\times 5$ rectangle whose area is 65.

How did this happen?

Some of the shapes in the rectangle are overlapping in a way that creates the illusion The shapes in the square don't fit up exactly as shown in the rectangle, and their areas differ by 1 The individual shapes on the left are not the same as those on the right It must be a work of the Illuminati