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Home » Thus, the ratio is \(\boxed{\frac1k^3}\). - Tacotoon

Thus, the ratio is \(\boxed{\frac1k^3}\). - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Substitute \( w = 40 - l \):

📌 A = l(40 - l) = 40l - l^2

📌 Maximize the quadratic function:

📌 The function \( A = -l^2 + 40l \) is a downward-opening parabola. The maximum occurs at the vertex:

📌 l = -\frac{b}{2a} = -\frac{40}{2(-1)} = 20

📌 Thus, \( w = 40 - 20 = 20 \).

📌 Calculate the maximum area:

📌 A = 20 \times 20 = 400

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Equating coefficients:
$ 2pab = ab \Rightarrow 2p = 1 \Rightarrow p = rac{1}{2} $.

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