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Home » Perimeter formula for a rectangle: \( 2(\textlength + \textwidth) = 64 \). - Dachbleche24

Perimeter formula for a rectangle: \( 2(\textlength + \textwidth) = 64 \). - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 h^2 = 2500 - 900 = 1600

📌 h = \sqrt{1600} = 40

📌 The height of the trapezoid is $ \boxed{40} $ meters.

📌 Question: A bioinformatician is analyzing a 3D protein structure modeled as a regular tetrahedron with edge length $ e $. If the volume of the tetrahedron is $ 8\sqrt{2} $ cm³, what is the edge length $ e $?

📌 Solution: The volume $ V $ of a regular tetrahedron with edge length $ e $ is given by:

📌 V = \frac{e^3}{6\sqrt{2}}

📌 Set this equal to the given volume:

📌 \frac{e^3}{6\sqrt{2}} = 8\sqrt{2}

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