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2.6: Perimeters and Areas of Similar Figures

2.6: Perimeters and Areas of Similar Figures. Perimeters of Similar Figures. When two figures are similar: The ratio of their perimeters is equal to the ratio of their corresponding side lengths. Finding the Ratios of Perimeters. The ratio of the perimeters is.

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2.6: Perimeters and Areas of Similar Figures

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  1. 2.6: Perimeters and Areas of Similar Figures

  2. Perimeters of Similar Figures • When two figures are similar: • The ratio of their perimeters is equal to the ratio of their corresponding side lengths.

  3. Finding the Ratios of Perimeters • The ratio of the perimeters is • Find the ratio (red to blue) of the perimeters of the similar rectangles.

  4. Areas of Similar Figures • When two figures are similar: • The ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

  5. Finding Ratios of Areas • The ratio of the areas is • Find the ratio (red to blue) of the areas of the similar triangles.

  6. Using Proportions to Find Perimeters and Areas • The rectangular pool and the court are similar. So, use the ratio of corresponding side lengths to write and solve proportions to find the perimeter and area of the pool. • A swimming pool is similar in shape to a volleyball court. Find the perimeter P and the area A of the pool.

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