\(a = 6 \text{ meters}\)

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• Using Pythagorean theorem: \(a^2 + 8^2 = 10^2\)
• \(a^2 + 64 = 100\)
• \(a^2 = 36\)
• Question:** A rectangle's length is twice its width. If the perimeter is 36 meters, find the area.
• Perimeter: \( 2(w + 2w) = 36 \)
• \( 6w = 36 \)

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