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Home » Shaded area \(\approx 64 - 50.2655 = 13.7345 \) cm². - Sterling Industries

Shaded area \(\approx 64 - 50.2655 = 13.7345 \) cm². - Sterling Industries

📅 April 18, 2026 👤 scraface

Apr 18, 2026

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📌 A square and a rectangle have the same perimeter. The rectangle's length is twice its width. If the square's side is 10 meters, what is the rectangle's area?

📌 Square's perimeter: \(4 \times 10 = 40\) meters.

📌 Rectangle's perimeter: \(2(l + w) = 40\).

📌 Given \(l = 2w\), \(2(2w + w) = 40\).

📌 \(6w = 40\), so \(w = \frac{20}{3}\).

📌 \(l = \frac{40}{3}\).

📌 Area: \(w \times l = \frac{20}{3} \times \frac{40}{3} = \frac{800}{9}\).

📌 #### \(\frac{800}{9}\)

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