We will call the accompanying figure a 5 × 5 (5-by-5) square. In this figure, we have high...

We will call the accompanying figure a 5 × 5 (5-by-5) square. In this figure, we have highlighted a 1 × 1 square in red and a 3 × 3 square in blue. Find the number of all possible squares in the figure. Try to be systematic in solving this problem by considering all 5 × 5 squares, then all 4 × 4 squares, etc.