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📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 The greatest common divisor is 3.

📌 Thus, the largest square that can tile the rectangle has a side length of 3 meters.

📌 Now, calculate how many such squares are needed:

📌 Divide the length of the rectangle by the side of the square: \( \frac{12}{3} = 4 \).

📌 Divide the width of the rectangle by the side of the square: \( \frac{15}{3} = 5 \).

📌 Therefore, the total number of squares is \( 4 \times 5 = 20 \).

📌 The smallest number of whole non-overlapping squares needed is \(\boxed{20}\).

📌 Question:** An anthropologist is studying the relationship between community size and resource allocation. In a hypothetical community, the number of resources \( R \) is directly proportional to the square of the community size \( S \), and inversely proportional to the number of leaders \( L \). If \( R = k \cdot \frac{S^2}{L} \) where \( k \) is a constant, find \( S \) when \( R = 50 \), \( L = 5 \), and \( k = 2 \).

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