If the ratio of the areas of two similar triangles is 4:9, what is the ratio of their perimeters?

A 2:3

B 4:9

C 16:81

D √4:√9

✓ Correct Answer: Option A

For similar triangles, the ratio of areas is the square of the ratio of corresponding sides or perimeters. If Area1/Area2 = (P1/P2)², then P1/P2 = √(Area1/Area2) = √(4/9) = 2/3.

💡 Why is A) the correct answer?

The correct answer to the question "If the ratio of the areas of two similar triangles is 4:9, what is the ratio of their perimeters?" is Option A: 2:3.

The other options — B) 4:9, C) 16:81, D) √4:√9 — are incorrect for this GMAT Exam Prep question. As explained above: For similar triangles, the ratio of areas is the square of the ratio of corresponding sides or perimeters. If Area1/Area2 = (P1/P2)², then P1/P2 = √(Area1/Area2) = √(4/9) = 2/3.

📚 About This GMAT Exam Prep Practice Question

This 3-level GMAT 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 GMAT Exam Prep practice test or use flashcards for spaced repetition review.

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If the ratio of the areas of two similar triangles is 4:9, what is the ratio of their perimeters?

✓ Correct Answer: Option A

📚 About This GMAT Exam Prep Practice Question

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