A rectangle has a perimeter of 48 cm. If its length is three times its width, what is its area in square centimeters?

A 72

B 96

C 108

D 144

✓ Correct Answer: Option C

Let width = w and length = l. Perimeter = 2(l+w) = 48, so l+w = 24. Given l=3w, substitute into the equation: 3w+w = 24 => 4w = 24 => w = 6 cm. Then l = 3*6 = 18 cm. Area = l*w = 18*6 = 108 cm².

💡 Why is C) the correct answer?

The correct answer to the question "A rectangle has a perimeter of 48 cm. If its length is three times its width, what is its area in square centimeters?" is Option C: 108.

The other options — A) 72, B) 96, D) 144 — are incorrect for this GRE Exam Prep question. As explained above: Let width = w and length = l. Perimeter = 2(l+w) = 48, so l+w = 24. Given l=3w, substitute into the equation: 3w+w = 24 => 4w = 24 => w = 6 cm. Then l = 3*6 = 18 cm. Area = l*w = 18*6 = 108 cm².

📚 About This GRE Exam Prep Practice Question

This 2-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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A rectangle has a perimeter of 48 cm. If its length is three times its width, what is its area in square centimeters?

✓ Correct Answer: Option C

📚 About This GRE Exam Prep Practice Question

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