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Home » Taking the square root of both sides, we find: - Blask

Taking the square root of both sides, we find: - Blask

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 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

📌 Using the quadratic formula: \( x = \frac{-460 \pm \sqrt{460^2 - 4 \times 4 \times (-3,000)}}{2 \times 4} \)

📌 \( x = \frac{-460 \pm \sqrt{211,600 + 48,000}}{8} \)

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