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You calculate the areas of two shapes and then divide one area by the other to find the ratio of their areas.
If the ratio of similarity is 310, then the ratio of their area is 96100.
The ratio of areas is the square of the ratio of lengths. Ratio lengths = 1 : 2 → ratio areas = 1² : 2² = 1 : 4 → if the lengths are doubled, the areas of quadrupled (multiplied by 4).
Area = length x length Therefore the ratio of areas of two similar objects is the square of the ratio of lengths. Lengths - 1 : 41 Areas - 12 : 412 = 1 : 1681