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Home » Solution: We solve the system of congruences: - Professionaloutdoormedia

Solution: We solve the system of congruences: - Professionaloutdoormedia

📅 May 14, 2026 👤 scraface

May 14, 2026

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📌 A rectangular garden has a length of 30 meters and a width of 20 meters. If a path of uniform width is built around the garden, and the total area (garden plus path) becomes 792 square meters, what is the width of the path?

📌 Let the width of the path be \( x \) meters.

📌 The dimensions of the garden including the path become \( (30 + 2x) \) meters by \( (20 + 2x) \) meters.

📌 The area of the garden plus path is \( (30 + 2x)(20 + 2x) \) square meters.

📌 Set up the equation:

📌 \[(30 + 2x)(20 + 2x) = 792\]

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