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Home » 2(\textالطول + \textالعرض) = 36 - Aurero

2(\textالطول + \textالعرض) = 36 - Aurero

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 \( 20x - x^2 = 96 \) → \( x^2 - 20x + 96 = 0 \).

📌 Factoring: \( (x - 12)(x - 8) = 0 \) → \( x = 12 \) or \( x = 8 \).

📌 The larger number is 12.

📌 A circle has a circumference of \( 10\pi \) units. What is the area of the square inscribed in this circle?

📌 Circumference \( = 2\pi r = 10\pi \) → \( r = 5 \).

📌 The diagonal of the inscribed square equals the diameter: \( 2r = 10 \).

📌 Let side of square be \( s \). Then \( s\sqrt{2} = 10 \) → \( s = \frac{10}{\sqrt{2}} = 5\sqrt{2} \).

📌 Area = \( s^2 = (5\sqrt{2})^2 = 50 \).

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