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📰 Thus, the value of $x$ that satisfies the equation is: 📰 \]Question: An anthropologist discovers ancient carvings depicting a regular hexagon with an area of \( 54\sqrt{3} \) square units. If each side is reduced by 2 units, by how many square units does the area decrease? 📰 Solution: The area \( A \) of a regular hexagon with side length \( s \) is \( A = \frac{3\sqrt{3}}{2}s^2 \). Given \( 54\sqrt{3} = \frac{3\sqrt{3}}{2}s^2 \), solving for \( s^2 \) yields \( s^2 = 36 \), so \( s = 6 \). The new side length is \( 6 - 2 = 4 \). The new area is \( \frac{3\sqrt{3}}{2}(4)^2 = 24\sqrt{3} \). The decrease in area is \( 54\sqrt{3} - 24\sqrt{3} = 30\sqrt{3} \). \boxed{30\sqrt{3}} 📰 Flow Diagram 1440460 📰 Surface Area Formula 2Lw Lh Wh 3992045 📰 Gev Beta Leak Inside The Gamechanging Features Everyones Rushing For 640073 📰 Indiana State Fair Age Requirement 334945 📰 Sushi You 2690797 📰 Whatsapp On Desktop Mac 3220117 📰 Fortnite Og Pass 9454525 📰 Software Explained Are You Using It Right This Can Change Everything About What Software Is 7204861 📰 Rocket League Ranks In Order 1833937 📰 How To Remove Spaces In Excel Fast3 Secret Tricks That Work 4657610 📰 Unlock The Ultimate Ps4 Fortnite Mode This Method Shocked Thousands Of Players 2359934 📰 Struggling To Identify Calls Discover Your Unknown Contacts With Phone Number Reverse Search 8253229 📰 Hhs Ocr Hipaa Settlement News November 2025 7523787 📰 You Wont Believe The Hidden Shortcut To Insert Footnotes In Word 1007188 📰 Dotnet Downloads 903450