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Home » 🔥 Discover the HIDDEN Bonus Questions That Boost Your Test Scores! - Londonproperty

🔥 Discover the HIDDEN Bonus Questions That Boost Your Test Scores! - Londonproperty

📅 March 15, 2026 👤 scraface

Mar 15, 2026

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📌 Set this equal to the given area:

📌 rac{\sqrt{3}}{4}s^2 = 25\sqrt{3}

📌 Divide both sides by $ \sqrt{3} $:

📌 rac{1}{4}s^2 = 25 \Rightarrow s^2 = 100 \Rightarrow s = 10 ext{ cm}

📌 The new side length is $ s + 4 = 14 $ cm. Compute the new area:

📌 A_{ ext{new}} = rac{\sqrt{3}}{4}(14)^2 = rac{\sqrt{3}}{4} \cdot 196 = 49\sqrt{3} ext{ cm}^2

📌 \Delta A = 49\sqrt{3} - 25\sqrt{3} = 24\sqrt{3} ext{ cm}^2

📌 Thus, the area increases by $ oxed{24\sqrt{3}} $ cmÂ².

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