Answer:
Ratio (red to blue ) of the perimeters:
Ratio (red to blue ) of the areas:
Step-by-step explanation:
In similar figures
- The ratio between their corresponding sides equal to the ratio between their perimeters
- The square the ratio between their corresponding sides equal to the ratio between their areas
Let us solve the question
∵ The red figure and the blue figure are similar
∴ Their corresponding sides have equal ratios
∵ Two corresponding sides are 11 and 6
∴ The ratio of similarity (red to blue) =
→ By using the first rule above
∵ The ratio of their perimeters = the ratio of the corresponding sides
∴ The ratio of their perimeters (red to blue) =
∴ Ratio (red to blue ) of the perimeters:
→ By using the second rule above
∵ The ratio of their areas = Square the ratio of their sides
∴ The ratio of their areas (red to blue) = ()²
∴ The ratio of their areas (red to blue) =
∴ Ratio (red to blue ) of the areas: