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📅 May 19, 2026 👤 scraface

May 19, 2026

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📌 The divisors of 15 are: 1, 3, 5, 15.

📌 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 \(\boxed{20}\).

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