Question

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 and 169/9 b. 13/3 and 16/9 c. 16/3 and 169/9 d. 16/3 and 16/9

Answer 1

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) is
the 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