You calculate the areas of two shapes and then divide one area by the other to find the ratio of their areas.
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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).
If the ratio of similarity is 310, then the ratio of their area is 96100.
The ratio of their surface areas is 42 to 52 or 16 to 25
The ratio of areas is 18:50 which simplifies to 9:25 or 9/25 So the ratio of their sides is sqrt(9/25) = sqrt(9)/sqrt(25) = 3/5 That is, the linear ratio is 3:5
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