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Home » Perimeter = 2(length + width) = 2(3x + x) = 8x = 64. - RoadRUNNER Motorcycle Touring & Travel Magazine

Perimeter = 2(length + width) = 2(3x + x) = 8x = 64. - RoadRUNNER Motorcycle Touring & Travel Magazine

📅 May 1, 2026 👤 scraface

May 01, 2026

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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:
A_{ ext{new}} = rac{\sqrt{3}}{4}(14)^2 = rac{\sqrt{3}}{4} \cdot 196...
\Delta A = 49\sqrt{3} - 25\sqrt{3} = 24\sqrt{3} ext{ cm}^2
Thus, the area increases by $ oxed{24\sqrt{3}} $ cmÂ².
Question: Find the length of the longest altitude of a triangle with s...
Solution: First, compute the area using Heronâs formula. Let $ a = 7...

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