🧠 GRE Exam Prep

A circular garden has a radius of 5 meters. A path of uniform width surrounds the garden. If the total area of the garden and the path combined is 144π square meters, what is the width of the path?

A 3 meters
B 4 meters
C 7 meters
D 9 meters

✓ Correct Answer: Option C

Let R be the radius of the garden plus path. The total area is πR^2 = 144π, so R^2 = 144, which means R = 12 meters. The path width is the total radius minus the garden's radius: 12 - 5 = 7 meters.

💡 Why is C) the correct answer?

The correct answer to the question "A circular garden has a radius of 5 meters. A path of uniform width surrounds the garden. If the total area of the garden and the path combined is 144π square meters, what is the width of the path?" is Option C: 7 meters.

The other options — A) 3 meters, B) 4 meters, D) 9 meters — are incorrect for this GRE Exam Prep question. As explained above: Let R be the radius of the garden plus path. The total area is πR^2 = 144π, so R^2 = 144, which means R = 12 meters. The path width is the total radius minus the garden's radius: 12 - 5 = 7 meters.

📚 About This GRE Exam Prep Practice Question

This 3-level GRE Exam Prep question from the Quantitative Reasoning topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free GRE Exam Prep practice test or use flashcards for spaced repetition review.

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