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Home » Wait: perhaps Sₙ = 110 is approximate? - go-checkin.com

Wait: perhaps Sₙ = 110 is approximate? - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 For a square with side $ s $, the diagonal is $ s\sqrt{2} $. Therefore:

📌 s\sqrt{2} = 10 \Rightarrow s = \frac{10}{\sqrt{2}} = 5\sqrt{2}

📌 The area of the square is:

📌 s^2 = (5\sqrt{2})^2 = 25 \cdot 2 = 50

📌 Thus, the area is $ \boxed{50} $.

📌 Question: An equilateral triangle has an area of $ 36\sqrt{3} $ cm². If each side is decreased by 4 cm, by how many square centimeters does the area decrease?

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

📌 A = \frac{\sqrt{3}}{4} s^2

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