Answer :
Final answer:
To count the number of rectangles in the resulting figure, we can consider the ways in which two vertical and two horizontal lines can be chosen from the original 16 lines. Therefore, the number of rectangles formed in the resulting figure is 14384.
Explanation:
To count the number of rectangles in the resulting figure, we can consider the ways in which two vertical and two horizontal lines can be chosen from the original 16 lines. In this case, we can choose any 2 vertical lines from the 16 lines in C(16, 2) = 120 ways, and similarly, we can choose any 2 horizontal lines in C(16, 2) = 120 ways. Therefore, the total number of rectangles formed is 120 * 120 = 14400. However, we need to subtract the number of squares formed from this count. There are 16 squares formed by choosing 2 vertical and 2 horizontal lines from the original square plot. Therefore, the number of rectangles formed in the resulting figure is 14400 - 16 = 14384.
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