Problem 6 · 2014 Math Kangaroo
Easy
Geometry & Measurement
areaarea-fraction
The side lengths of the large regular hexagon are twice those of the small regular hexagon. What is the area of the large hexagon if the small hexagon has an area of 4 cm²?
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Answer: A — 16 cm²
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Hint 1 of 2
Doubling every length does not double the area.
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Hint 2 of 2
Area scales by the square of the scale factor.
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Approach: area scales as the square of the side ratio
- The large hexagon has sides twice as long, so its area is 2² = 4 times the small one.
- Large area = 4 × 4 cm² = 16 cm².
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