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Home » If \( 2^x = 128 \), what is the value of \( x \)? - Veritas Home Health

If \( 2^x = 128 \), what is the value of \( x \)? - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A rectangular field measures 50 meters by 30 meters. If a path 2 meters wide runs around the inside perimeter of the field, what is the area of the path?

📌 First, calculate the area of the entire field:

📌 \(50 \text{ m} \times 30 \text{ m} = 1500 \text{ m}^2\)

📌 The dimensions of the inner rectangle (field minus path) are:

📌 \( (50 - 2 \times 2) \text{ m} = 46 \text{ m} \)

📌 \( (30 - 2 \times 2) \text{ m} = 26 \text{ m} \)

📌 Calculate the area of the inner rectangle:

📌 \(46 \text{ m} \times 26 \text{ m} = 1196 \text{ m}^2\)

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