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This is my question Sandra likes to build squares using matches. She has found an optimal way to build squares using the lowest number of

This is my question

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Sandra likes to build squares using matches. She has found an optimal way to build squares using the lowest number of matches. For example, she can build 5 squares with 12 matches as shown in the diagram below by I'lling" 4 small squares into the larger square . D 1 = 1 I = 2 1 square 5 squares 4 matches 12 matches Assume all matches are the same length, which is the size of a smaller square. No other assumptions are needed so in this question you need to focus on the model. How many matches are needed to build such a square for l=10? How many squares (of any size] are included into that square of l=10? Hint: do not brute force but nd a pattern for the formulas by looking at |=3 and l=4

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