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Home » Ils Ont Déshafté le Fou – Le Véritable Secret Behind the Mad Hatter! - AssociationVoting

Ils Ont Déshafté le Fou – Le Véritable Secret Behind the Mad Hatter! - AssociationVoting

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 \text{KGV} = 2^3 \times 3^2 = 8 \times 9 = 72.

📌 Somit ist das kleinste gemeinsame Vielfache von 24 und 36 \(\boxed{72}\).Un jardín rectangular tiene una longitud de 15 metros y un ancho de 9 metros. Si se agrega una acera de ancho uniforme alrededor del jardín, y el área total, incluyendo la acera, se vuelve 306 metros cuadrados, ¿cuál es el ancho de la acera?

📌 El área original del jardín es 15 metros * 9 metros = <<15*9=135>>135 metros cuadrados.

📌 Sea W el ancho de la acera. Las nuevas dimensiones incluyendo la acera son (15 + 2W) metros por (9 + 2W) metros.

📌 El área total incluyendo la acera es (15 + 2W)(9 + 2W) = 306 metros cuadrados.

📌 Expandiendo la ecuación: 135 + 30W + 18W + 4W^2 = 306.

📌 Simplificando, obtenemos 4W^2 + 48W + 135 - 306 = 0, lo que se simplifica aún más a 4W^2 + 48W - 171 = 0.

📌 Usando la fórmula cuadrática W = (-b ± √(b² - 4ac)) / 2a, donde a = 4, b = 48 y c = -171, obtenemos W = (-48 ± √(48² - 4*4*(-171))) / 8.

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