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Home » The formula for the area of a circle is \( A = \pi r^2 \). - AMAZONAWS

The formula for the area of a circle is \( A = \pi r^2 \). - AMAZONAWS

📅 March 6, 2026 👤 scraface

Mar 06, 2026

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2l + 2w = 100 \quad \Rightarrow \quad l + w = 50
The area \( A \) of the rectangle is:
A = lw
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 downw...
l = -\frac{b}{2a} = -\frac{50}{2(-1)} = 25
Substitute back to find \( w \):

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