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Home » 1.25^5 = 2.44140625 × 1.25 = 3.0517578125 - Groen Casting

1.25^5 = 2.44140625 × 1.25 = 3.0517578125 - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Question:** A rectangular field is 150 meters long and 80 meters wide. A path of uniform width is built around the field, increasing the total area to 15,000 square meters. What is the width of the path?

📌 Original area of the field: 150 m × 80 m = 12,000 m²

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

📌 New dimensions: (150 + 2x) m by (80 + 2x) m

📌 New area: (150 + 2x)(80 + 2x) = 15,000 m²

📌 Solving: 12,000 + 460x + 4x² = 15,000

📌 4x² + 460x - 3,000 = 0

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