bakerhaley18
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Assume that two figures on a flat surface, A and B, are similar.



A. If the linear scale factor is 2/5, then what is the ratio of the areas of A and B?


B. If the ratio of the perimeters of A and B is 14:1, what is the ratio of the areas?


C. If the area of A is 81 times that of B, what is the ratio of the perimeters?

Respuesta :

A.     ratio of areas = 2^2 /5^2 = 4/25

B    14^2 : 1 = 196:1

C.  ratio of perimeters would be  sqrt81 = 9 times

a. The ratio of the areas of A and B is [tex]4\div 25[/tex]

b. The ratio of the areas should be 196:1

c. The ratio of the perimeter is 9 times

Calculation of the ratios:

a. Since the linear scale factor is 2/5

So, here the ratio of the areas should be  = [tex]2^2 /5^2 = 4/25[/tex]

b. Since the ratio of the perimeters of A and B is 14:1 so the ratio of the areas should be [tex]14^2 : 1[/tex] = 196:1

C.  In the case the area of A is 81 times that of B so the ratio of the perimeter is 9 times.

Learn more about ratio here: https://brainly.com/question/24295936

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