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Home » Master Match Match in Excel—No Formulas, Just Instant Success! - Professionaloutdoormedia

Master Match Match in Excel—No Formulas, Just Instant Success! - Professionaloutdoormedia

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 #### 2.4 hours

📌 A rectangular field is 50 meters longer than it is wide. If the area is 6000 m², what are the dimensions?

📌 Let the width be \(x\) meters. Then the length is \(x + 50\) meters.

📌 The area is \(x(x + 50) = 6000\).

📌 Solving \(x^2 + 50x - 6000 = 0\) using the quadratic formula: \(x = \frac{-50 \pm \sqrt{50^2 + 4 \times 6000}}{2}\).

📌 \(x = \frac{-50 \pm \sqrt{2500 + 24000}}{2} = \frac{-50 \pm \sqrt{26500}}{2}\).

📌 \(x = \frac{-50 \pm 162.63}{2}\). Taking the positive root: \(x = 56.315\) meters.

📌 Length is \(56.315 + 50 = 106.315\) meters.

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