Problem StatementMy task was to find 3 equations, which would give me an answer, if I had certain information. The first was to find one that if you knew there were four pickets on the border and none on the inside, you could get the area. The second was that if you knew there were 4 pickets on the border and how many were inside, you could get the area. And finally, if you had the number inside and the number on the border, you could get the area. Process The first two equations were a preparation for the final one, towards the complete idea. This helped me, because I could complete the first two quite quickly. For Freddie I designed a 3 column T-chart, with a drawing of the figure, the number of pegs (in) and the area (out). I looked for a pattern between inside and outside, quickly found one that made sense, and turned it into a formula. I have X/2-1=Y. Where X is IN (number of pegs) and Y is OUT (area). Works in all shapes without internal pegs, as described by Freddie. I have attached this T-chart. For Sally I followed the fate of the 3-column T-chart and designed another one with the same guidelines. The figure, the internal pegs (inside) and the area (outside). After plugging in some figures and their properties, I noticed a pattern and, not long after, a formula that worked for them. It was X+1=Y. This T-Table is also attached. Now… the next one wasn't so easy. Frashy required a long thought process, a...