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Home » The perimeter is given by \(2(w + 2w) = 240\). - Abu Waleed Tea

The perimeter is given by \(2(w + 2w) = 240\). - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 a^4 r^6 = 20^4 \Rightarrow (ar^{1.5})^4 = 20^4 \Rightarrow ar^{1.5} = 20

📌 Letâs write $ a = rac{20}{r^{1.5}} $. Substitute into the sum:

📌 rac{20}{r^{1.5}} (1 + r + r^2 + r^3) = 120

📌 \Rightarrow rac{20(1 + r + r^2 + r^3)}{r^{1.5}} = 120

📌 \Rightarrow rac{1 + r + r^2 + r^3}{r^{1.5}} = 6

📌 Try $ r = 1 $:

📌 rac{1 + 1 + 1 + 1}{1} = 4 < 6

📌 Try $ r = 2 $:

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