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Home » \[ = 3 \cdot racx^33 - 2 \cdot racx^22 + x + C \] - Treasure Valley Movers

\[ = 3 \cdot racx^33 - 2 \cdot racx^22 + x + C \] - Treasure Valley Movers

📅 April 18, 2026 👤 scraface

Apr 18, 2026

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📌 The area \( A \) of an equilateral triangle with side \( s \) is given by:

📌 A_{\text{original}} = \frac{\sqrt{3}}{4}s^2

📌 New Triangular Area:

📌 The side length is increased by 50%, so the new side length is \( 1.5s \). The new area is:

📌 A_{\text{new}} = \frac{\sqrt{3}}{4}(1.5s)^2 = \frac{\sqrt{3}}{4} \cdot 2.25s^2 = \frac{2.25\sqrt{3}}{4}s^2

📌 Ratio of New Area to Original Area:

📌 The ratio is:

📌 \text{Ratio} = \frac{A_{\text{new}}}{A_{\text{original}}} = \frac{\frac{2.25\sqrt{3}}{4}s^2}{\frac{\sqrt{3}}{4}s^2} = \frac{2.25\sqrt{3}/4}{\sqrt{3}/4} = 2.25

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