Question
Two similar hexagons have their perimeters in the ratio 5:7. If the smaller hexagon has an area of 75 cm², what is the area of the larger hexagon?
This question was previously asked in
SSC CGL 2025 Tier 1 Question Paper (25-Sep-2025) (Shift 3)
The correct answer is
147 cm²
For similar figures, the ratio of areas equals the square of the ratio of perimeters, i.e., 5²:7² = 25:49. So the area of the larger hexagon = 75 × 49/25 = 147 cm².
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