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Home » Total number of ways to choose 4 species from 15: - Aurero

Total number of ways to choose 4 species from 15: - Aurero

📅 March 16, 2026 👤 scraface

Mar 16, 2026

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📌 A = l \times w

📌 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:

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