The dots in the diagram are 1 unit apart. What is the longest segment that can be drawn between two of the dots without
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There is no difficulty in this problem until you construct the figures. How can we do it is shown in the attached picture. After drawing PRST, from the point P, we can draw PMKD and later we can complete PMCT as a result. From this picture, we can see that the side of PMCT is also a. Then, the area of this square is 
