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📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 A = \frac{\sqrt{3}}{4} s^2

📌 Given $ \frac{\sqrt{3}}{4} s^2 = 36\sqrt{3} $, divide both sides by $ \sqrt{3} $:

📌 \frac{1}{4} s^2 = 36 \Rightarrow s^2 = 144 \Rightarrow s = 12 \text{ cm}

📌 New side length: $ 12 - 4 = 8 $ cm.

📌 \frac{\sqrt{3}}{4} \cdot 8^2 = \frac{\sqrt{3}}{4} \cdot 64 = 16\sqrt{3}

📌 Decrease in area:

📌 36\sqrt{3} - 16\sqrt{3} = 20\sqrt{3}

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