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39th president of the united states - RTA

📅 May 11, 2026 👤 scraface

May 11, 2026

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📌 Question: The area of an equilateral triangle is $ 25\sqrt{3} $ cmÂ². If each side length is increased by 4 cm, by how many square centimeters does the area increase?

📌 Solution: The area $ A $ of an equilateral triangle with side length $ s $ is:

📌 A = rac{\sqrt{3}}{4}s^2

📌 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:

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