SOLUTION: The ratio of the perimeters of two similar hexagons is 5:8. The area of the larger hexagon is 320 square inches. What is the area of the smaller hexagon??

Algebra ->  Algebra  -> Percentage-and-ratio-word-problems -> SOLUTION: The ratio of the perimeters of two similar hexagons is 5:8. The area of the larger hexagon is 320 square inches. What is the area of the smaller hexagon??      Log On

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Question 619483: The ratio of the perimeters of two similar hexagons is 5:8. The area of the larger hexagon is 320 square inches. What is the area of the smaller hexagon??
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the ratio of the areas is equal to the ratio of the perimeters, squared

a1:a2 = (5:8)^2 = 25:64