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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}} 📰 Nyc Blood On The Sidewalks The Horror Behind The Headlines Now 9247748 📰 Download Your Free Windows 10 Iso Nowinstall It Instantly Boost Your Pcs Performance 6301821 📰 Thats Not My Neighbor Game The Wild Truth Behind Your Estranged Voisin 5162446 📰 Borderlands Type Games 9197552 📰 You Wont Believe What Happens When You Try 4 Loko One Night 5247120 📰 A Day Without Immigrants 2025 1087693 📰 City Hall Spain 7730211 📰 Ye Bully 1097068 📰 Sortly Fast Sortly Smart Top Secrets To Organizing Like A Pro 4957864 📰 Snag Meaning 8846344 📰 You Wont Believe How This Moat Etf Protects Your Portfolio From Market Crashes 8427326 📰 Future Stars Train At Frisco Fieldhouse Frisco Texasshocking Secrets Revealed 6513021 📰 Kelly Inn West Yellowstone 3537344 📰 All Fast And Furious Movies 3130133 📰 This Hidden Trend In Owens Corning Stock Could Double Your Investmentdont Miss Out 2553895