(Solution) - Consider the 8 5 grid shown in Fig 1 13 -(2025 Original AI-Free Solution)

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Consider the 8 × 5 grid shown in Fig. 1.13. How many different rectangles (with integer-coordinate comers) does this grid contain? [For example, there is a rectangle (square) with comers (1, 1), (2, 1), (2, 2), (1, 2), a second rectangle with corners (3, 2), (4, 2), (4, 4), (3, 4), and a third with comers (5, 0), (7, 0), (7, 3) (5, 3).]