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Home » \Delta A = 36\sqrt3 - 25\sqrt3 = 11\sqrt3 \, \textcm^2 - Get link 4share

\Delta A = 36\sqrt3 - 25\sqrt3 = 11\sqrt3 \, \textcm^2 - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Die größere Zahl ist \( 56 + 2 = 58 \).

📌 Ein rechteckiger Garten ist 20 Meter lang und 15 Meter breit. Um ihn einzäumen, wird ein gleich breiter Weg entlang der Innenkante des Umfangs angebracht, der die bepflanzte Fläche auf 240 m² reduziert. Wie breit ist der Weg?

📌 Äußere Fläche = \( 20 \cdot 15 = 300 \) m².

📌 Bepflanzte Fläche = 240 m² → Fläche des Weges = \( 300 - 240 = 60 \) m².

📌 Sei die Wegbreite = \( x \).

📌 Innere Abmessungen: \( (20 - 2x) \times (15 - 2x) = 240 \).

📌 Erweitern: \( 300 - 40x - 30x + 4x^2 = 240 \) → \( 4x^2 - 70x + 300 = 240 \) → \( 4x^2 - 70x + 60 = 0 \).

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A = \pi \times 5^2 = 25\pi \approx 78.5 \text{ cm}^2
#### 78.5 cm²
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