The missing areas for the similar shapes are given as follows:
- Side length of 4 cm -> area of 32 cm².
- Side length of 6 cm -> area of 25 cm².
- Side length of 3 cm -> area of 67.5 cm².
<h3>How to obtain the areas?</h3>
The units of each measure are given as follows:
Hence the ratio between the areas is equals to the square of the ratios between the side lengths.
For the first figure, we have that the ratio between the side lengths are of 2, hence the ratio between the areas is of 2² = 4, and then the missing area is of:
8 cm² x 4 = 32 cm².
For the second figure, the ratio is of 0.5, hence the ratio of the area is of one fourth, hence:
1/4 x 100 cm² = 25 cm².
For the third figure, the ratio is of 3/2 = 1.5, hence the area is obtained as follows:
1.5² x 30 cm² = 67.5 cm².
More can be learned about the area of a figure at brainly.com/question/17335144
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