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Home » Thus, the area decreases by \(\boxed{9\sqrt3}\). - IX Labs

Thus, the area decreases by \(\boxed{9\sqrt3}\). - IX Labs

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Choose position for 2: 2 ways

📌 Odd prime at other: 3 or 5 → 2 choices

📌 → $ 2 \times 2 = 4 $ valid prime value pairs (e.g., (2,3), (2,5), (3,2), (5,2))

📌 Now, total odd primes: 1 → contributes 1 odd number

📌 Odd non-primes: 0 → but wait: the two non-prime rolls: we need total odd count even → current odd count = 1 (odd prime) → so even number of odd terms → need an odd number of odd non-primes

📌 Odd non-primes contribute one odd each, even non-primes none.

📌 Subcase 2a: One odd non-prime (choice: 1), one even non-prime (4 or 6) → 1 × 2 = 2 choices

📌 Subcase 2b: Two odd non-primes → 1 × 1 = 1 choice

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