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Home » Compute up to $a_8$: - Appfinity Technologies

Compute up to $a_8$: - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 The area \( A \) of the rectangle is:

📌 Express \( w \) in terms of \( l \):

📌 w = 50 - l

📌 Substitute into the area formula:

📌 A = l(50 - l) = 50l - l^2

📌 This is a quadratic function \( A(l) = -l^2 + 50l \), which is a downward-opening parabola. The maximum area occurs at the vertex:

📌 l = -\frac{b}{2a} = -\frac{50}{2(-1)} = 25

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