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Home » D) 250 - AMAZONAWS

D) 250 - AMAZONAWS

Exploring “D) 250”: Understanding Its Significance and Applications

📅 March 11, 2026 👤 scraface

Mar 11, 2026

D) 250

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📌 Solution: The area of an equilateral triangle is $\frac{\sqrt{3}}{4} s^2$. Solving for original side $s$: $\frac{\sqrt{3}}{4} s^2 = 25\sqrt{3} \Rightarrow s^2 = 100 \Rightarrow s = 10\,\text{cm}$. New side: $14\,\text{cm}$. New area: $\frac{\sqrt{3}}{4} \cdot 14^2 = 49\sqrt{3}$. Increase: $49\sqrt{3} - 25\sqrt{3} = 24\sqrt{3}$. Thus, $\boxed{24\sqrt{3}}$.

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The total number of balls is \( 12 + 24 + 72 = 108 \).

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