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📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 But since the recurrence is exact and were to report the value, we compute numerically:

📌 However, since the question asks for the exact value, and the recurrence is defined exactly, we write:

📌 But for the purpose of the competition, the exact fraction is acceptable. The final value simplifies to:

📌 Question: A rectangle has a fixed perimeter of 80. What is the maximum possible area of the rectangle?

📌 Let the rectangle have length $ l $ and width $ w $. Then the perimeter is:

📌 This is a quadratic in $ l $, opening downward. Maximum occurs at the vertex:

📌 We complete the square for both $ x $ and $ y $:

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