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Home » #### \(x = 1.5\), \(y = 1\) - Crosslake

#### \(x = 1.5\), \(y = 1\) - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A rectangular field has a length 4 meters more than twice its width. If the area is 104 square meters, what is the width?

📌 Let width = \( w \). Then length = \( 2w + 4 \).

📌 Area: \( w(2w + 4) = 104 \)

📌 Expand: \( 2w^2 + 4w = 104 \)

📌 Divide by 2: \( w^2 + 2w = 52 \)

📌 Bring to standard form: \( w^2 + 2w - 52 = 0 \)

📌 \( w = \frac{-2 \pm \sqrt{2^2 - 4(1)(-52)}}{2} = \frac{-2 \pm \sqrt{4 + 208}}{2} = \frac{-2 \pm \sqrt{212}}{2} \)

📌 \( \sqrt{212} = \sqrt{4 \times 53} = 2\sqrt{53} \approx 2 \times 7.28 = 14.56 \)

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