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Home » Then, the length is \( 2w \) meters. - DNSFLEX

Then, the length is \( 2w \) meters. - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 A rectangular garden has a length 5 meters more than twice its width. If the area is 150 square meters, find the dimensions.

📌 Let width be \( w \). Then length is \( 2w + 5 \).

📌 Area: \( w(2w + 5) = 150 \).

📌 \( 2w^2 + 5w - 150 = 0 \).

📌 Using the quadratic formula, \( w = \frac{-5 \pm \sqrt{25 + 1200}}{4} \).

📌 \( w = \frac{-5 \pm 35}{4} \).

📌 \( w = 7.5 \) (since width must be positive).

📌 Length = \( 2 \times 7.5 + 5 = 20 \).

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