Question

Please help this is due today and I can't figure it out!!!Also explain your answer.

Answer 1

Answer:

Ratio (red to blue ) of the perimeters:  $\frac{11}{6}$

Ratio (red to blue ) of the areas: $\frac{121}{36}$

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) = $\frac{11}{6}$

→ 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) = $\frac{11}{6}$

∴ Ratio (red to blue ) of the perimeters:  $\frac{11}{6}$

→ 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) = ($\frac{11}{6}$)²

∴ The ratio of their areas (red to blue) = $\frac{121}{36}$

∴ Ratio (red to blue ) of the areas: $\frac{121}{36}$