Question

The figures below are similar. What are a) the ratio of the perimeters and b) the ratio of the areas of the larger figure to the smaller figure? The figures are not drawn to scale. a. 13/3 & 169/9 b. 13/3 & 16/9 c. 16/3 & 169/9 d. 16/3 & 16/9

Answer 1

the picture in the attached figure

we know that
a) find the ratio of the perimeters 
the ratio of the perimeters is equal to the scale factor
scale factor=26/6-----> 13/3

the answer Part a) isthe ratio of the perimeters is 13/3

b) find the ratio of the areas of the larger figure to the smaller figure

we know that
area larger figure=[scale factor]²*area smaller figure
scale factor²=area larger figure/area smaller figure

the ratio of the areas of the larger figure to the smaller figure is equal to scale factor squared
scale factor²=(13/3)²----> 169/9

the answer Part b) is 169/9

the complete answer is
13/3 and 169/9