Which of the following figure has the maximum perimeter?[Note: All squares are of same size]
Correct answer: D. Option D: A zigzag pattern of squares
- A. Option A: A straight line of squares
- B. Option B: A 2x2 square block
- C. Option C: An L-shape with three squares
- D. Option D: A zigzag pattern of squares
Explanation
Option D, the zigzag pattern, has the maximum perimeter because it exposes the most edges by alternating the direction of each square. In contrast, options like the straight line or block arrangements have more shared edges, reducing their total perimeters. A straight line (Option A) and an L-shape (Option C) also expose more edges than a solid block (Option B), but the zigzag pattern exposes even more, making it the option with the maximum perimeter.
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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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