Answer:
Ratio (red to blue ) of the perimeters: [tex]\frac{11}{6}[/tex]
Ratio (red to blue ) of the areas: [tex]\frac{121}{36}[/tex]
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) = [tex]\frac{11}{6}[/tex]
→ 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) = [tex]\frac{11}{6}[/tex]
∴ Ratio (red to blue ) of the perimeters: [tex]\frac{11}{6}[/tex]
→ 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) = ([tex]\frac{11}{6}[/tex])²
∴ The ratio of their areas (red to blue) = [tex]\frac{121}{36}[/tex]
∴ Ratio (red to blue ) of the areas: [tex]\frac{121}{36}[/tex]
