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Home » Solve for \(\sin(\theta_2)\): - High Altitude Science

Solve for \(\sin(\theta_2)\): - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 #### Width: \( \frac{25}{3} \) m, Length: \( \frac{65}{3} \) m1. A rectangular garden is 15 meters long and 10 meters wide. If a path of uniform width is built inside the garden along the perimeter, reducing the area available for planting by 40 square meters, what is the width of the path?

📌 The original area of the garden is \(15 \times 10 = 150\) square meters.

📌 The new planting area is \(150 - 40 = 110\) square meters.

📌 Let \(x\) be the width of the path.

📌 The dimensions of the planting area are \((15 - 2x)\) by \((10 - 2x)\).

📌 So, \((15 - 2x)(10 - 2x) = 110\).

📌 Expanding: \(150 - 30x - 20x + 4x^2 = 110\).

📌 Simplifying: \(4x^2 - 50x + 150 = 110\).

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