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?

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 6 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.