Squaring a Greek Cross

Strategies and Hints

  1. The Greek cross has an area of 5 square units. The finished square will have the same area and sides of lengths.

  2. The diagonal of the rectangle is also equal to the square root of 5. The edges of the cut will end up being two sides of the square.

  3. The two cuts must be perpendicular to each other so that 4 right angles can be formed for the corners of the finished square.

Solution