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📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 #### 6**Question:** A biodiversity conservation data scientist is analyzing a rectangular plot of land that has been divided into smaller sections for different plant species. The plot's dimensions are 12 meters by 15 meters. What is the smallest number of whole non-overlapping squares that can exactly cover the entire plot?

📌 To solve this problem, we need to find the largest square that can tile the rectangle exactly without any gaps or overlaps. The side of this square must be a common divisor of both the length and the width of the rectangle.

📌 The dimensions of the rectangle are 12 meters by 15 meters. We find the greatest common divisor (GCD) of 12 and 15:

📌 The divisors of 12 are: 1, 2, 3, 4, 6, 12.

📌 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:

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