Square $ABCD$ in Figure 1 has been dissected into eight equal-area rectangles. The width of the rectangle shaded red in Figure 1 is 35 units. What is the area of square $ABCD$ $?$ For a bonus challenge, can you devise and solve a similar problem that dissects a square into eleven pieces?

### D11. Octosection

*Contributed by Arsalan Wares, Valdosta State University*

*This problem originally appeared in the* Prisoner’s Dilemma *in the 2023 Spring issue of the PMP Newsletter. Solutions are no longer being accepted for this Dilemma.*