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# How do you calculate the area of a similar shape?

An area ratio is found by the square of length ratio. So simply work out the area of the smaller shape then multiply it by the ratio of the lengths squared to get the the area of the larger shape.

1) Calculate the length scale factor by dividing the lengths of the given corresponding sides. Bigger length divided by the smaller length. 2) Calculate the area scale factor by squaring the length scale factor you found in step 1. 3) Multiply the area of smaller shape by the area scale factor to find the area of bigger shape. Or if you are given the area of the bigger shape and asked to find the area of the smaller shape, than decide the area of the bigger shape by the area scale factor to get the area of the smaller shape.

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