Correct solutions were submitted by Rich Bernstein, Bader Al-Kandari, Chris Johnson.  Further solutions were received from Bill Schwennicke, Paul Botham, Ross Millikan, Brian Laughlin, Lou Cairoli, Bill Webb, Nancy Schwarzkopf, Alejandro Vellano, Agustin A. Murillo, Ahmed Aboadham.

Region I, being a quarter of a circle of radius 3, has an area of 9p/4.  Region III, being a quarter of a circle of radius 5 has area 25p/4.  Region II is made up of two right triangles and a quarter of a circle of radius Ö34.  The triangles have legs of length 3 and 5 and a total area of 15, while the quarter circle has area 34p/4.  The grand total is 17p + 15 square units.

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