The values of the ratios of the perimeters and areas of the red figure to the blue figure, which are similar figures, in the simplest form are:
Ratio of their perimeters: [tex]\mathbf{\frac{4}{7}}[/tex]
Ratio of their areas: [tex]\mathbf{\frac{16}{49}}[/tex]
Recall:
- The ratio of the perimeter of similar figures = a side length of one figure / corresponding side length of the other figure
- The ratio of the areas of two similar figures = square of a length of one figure / square of a corresponding length of the other
Thus:
Side length of Red figure = 4
Side length of Blue figure = 7
Therefore:
The ratio of their perimeter = Side length of red figure / Side length of blue figure
- Ratio of the perimeter of red figure to blue figure = [tex]\mathbf{\frac{4}{7}}[/tex]
The ratio of their areas = Side length of red figure / Side length of blue figure
- Ratio of the perimeters of red figure to blue figure = [tex]\frac{4^2}{7^2}[/tex]
[tex]\mathbf{= \frac{16}{49}}[/tex]
In summary, the values of the ratios of the perimeters and areas of the red figure to the blue figure, which are similar figures, in the simplest form are:
Ratio of their perimeters: [tex]\mathbf{\frac{4}{7}}[/tex]
Ratio of their areas: [tex]\mathbf{\frac{16}{49}}[/tex]
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https://brainly.com/question/11949091
