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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}} 📰 Mechanical Marie 2829209 📰 Big Fish Games The Hidden Adventure Thats Taking Over Your Week Critical 7361441 📰 The Secret Dominio That Top Marketers Are Using To Boost Traffic Instantly 8959710 📰 Is This The Big Break In Bunzl Stock Dont Miss Out 8335100 📰 Where Does Calvin Cycle Occur 2498444 📰 Who Refuses Turkey Day Dessert These Classic Dishes Are A Must 4572811 📰 Micro Machines 8832454 📰 City Of Commerce City Hall 3506194 📰 Youll Never Guess Whats Inside These Secret Cups 5954063 📰 Never Throw Down Herecasts Unbreakable Grit Revealed 655491 📰 Blast Into History Metal Gear Solid Delta Release Date Revealedare You Ready 8148225 📰 Youll Blow Away Every Friend With These Wildly Addictive Online Games 328261 📰 Keyboard Symbols 6154324 📰 What Are Args 6946611 📰 American Airlines Main Cabin 9237925