The outermost polygon shown in figure 2 as the region shaded in pink consists of 16 congruent rectangles placed so that their edges align (and vertices of four of the rectangles coincide at the center of the polygon). We call this polygon a *28-gon* because it has 28 *edges*: the line segments that make up its boundary. The perimeter of each rectangle is 26 cm and the perimeter of the 28-gon is 136 cm. What is the area of the 28-gon?

### D6. Rectangle Pinwheel

*Contributed by Arsalan Wares, Valdosta State University*

*This problem originally appeared in the* Prisoner’s Dilemma *in the 2022 Summer issue of the PMP Newsletter. Solutions are no longer being accepted for this Dilemma.*