If the side length of a square is increased by 20%, by what percentage does its area increase?

A 20%

B 40%

C 44%

D 120%

✓ Correct Answer: Option C

Let the original side be 's', area s^2. New side is 1.2s, new area (1.2s)^2 = 1.44s^2. The increase is 0.44s^2, which is 44% of the original area.

💡 Why is C) the correct answer?

The correct answer to the question "If the side length of a square is increased by 20%, by what percentage does its area increase?" is Option C: 44%.

The other options — A) 20%, B) 40%, D) 120% — are incorrect for this GRE Exam Prep question. As explained above: Let the original side be 's', area s^2. New side is 1.2s, new area (1.2s)^2 = 1.44s^2. The increase is 0.44s^2, which is 44% of the original area.

📚 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.

Practice GRE Exam Prep Quizzes → Browse All Questions Study Flashcards

If the side length of a square is increased by 20%, by what percentage does its area increase?

✓ Correct Answer: Option C

📚 About This GRE Exam Prep Practice Question

Related GRE Exam Prep Questions