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Home » wallace and gromit the curse of the were rabbit - IQnection

wallace and gromit the curse of the were rabbit - IQnection

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 Un projet d'Ã©nergie renouvelable nÃ©cessite une frontiÃ¨re rectangulaire avec un pÃ©rimÃ¨tre fixe de 200 mÃ¨tres. La longueur doit Ãªtre le double de la largeur. Quels sont les dimensions qui maximisent la superficie de la frontiÃ¨re ?

📌 Soit la largeur \( w \) et la longueur \( 2w \).

📌 Contrainte du pÃ©rimÃ¨tre : \( 2(w + 2w) = 200 \Rightarrow 6w = 200 \Rightarrow w = rac{200}{6} = rac{100}{3} \).

📌 Longueur \( l = 2w = rac{200}{3} \).

📌 Superficie \( A = w imes l = \left(rac{100}{3}

📌 ight) imes \left(rac{200}{3}

📌 ight) = rac{20000}{9} \).

📌 Les dimensions optimales sont \( rac{100}{3} \) m (largeur) et \( rac{200}{3} \) m (longueur).

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