What is the length of a rope required to cover the boundaries of a square with area 64 squares metres?
Correct answer: A. 32m
- A. 32m
- B. 32m2
- C. 64m
- D. 64m2
Explanation
To find the perimeter of a square with an area of 64 square meters, you first calculate the side length. The area of a square is side length squared, so for an area of 64 square meters, the side length is the square root of 64, which is 8 meters. The perimeter of a square is 4 times the side length, so it is 4 x 8 = 32 meters. Option A is correct. Options B and D are incorrect because they use square meters, which is a unit for area, not perimeter. Option C is incorrect because it confuses the area with the perimeter.
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About Quantitative Reasoning
Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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