1. (3 points) The left figure below is the recently discovered Archimedes' "Stomachion" puzzle, dividing a square into 14 polygonal pieces: After research, experts found that these 14 pieces can be correctly drawn on a square with a side length of $12 \mathrm{~cm}$, as shown in the figure. Question: The area of the gray piece is $\qquad$ square centimeters.