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In Mathematics / Middle School | 2014-11-10

The two figures are similar.

Find the ratios of the perimeters and of the areas.

Given:
- The width of one rectangle is 8.
- The width of the other rectangle is 3.

Asked by JosieJoFord

Answer (2)

The ratio of the perimeters of two similar rectangles with widths 8 and 3 is 8:3, and the ratio of their areas is 64:9, since the ratio of the areas is the square of the ratio of the corresponding sides.

Ratios of Perimeters: For two similar figures, the ratios of their perimeters are equal to the ratio of their corresponding sides. In this case, the ratio of perimeters would be 8/3.
Ratios of Areas: The ratio of areas for similar figures is the square of the ratio of their corresponding sides. So, the ratio of the areas would be (8/3)^2.

Answered by DimahiS | 2024-06-24

The ratio of the perimeters of the two rectangles is 8:3, while the ratio of the areas is 64:9, being the square of the ratio of the widths.
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Answered by DimahiS | 2025-06-17

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