Question

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

Answer 1

Ratio (red to blue ) of the perimeters:
`(11)/(6)`

Ratio (red to blue ) of the areas:
`(121)/(36)`

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) =
`(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) =
`(11)/(6)`

∴ Ratio (red to blue ) of the perimeters:
`(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) = (
`(11)/(6)`)²

∴ The ratio of their areas (red to blue) =
`(121)/(36)`

∴ Ratio (red to blue ) of the areas:
`(121)/(36)`