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aleksley [76]
3 years ago
7

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 ar

e 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

Mathematics
1 answer:
Alla [95]3 years ago
6 0
We know that

a) find <span>the ratio of the perimeters 
</span><span>
the ratio of the perimeters is equal to the scale factor
</span>scale factor=26/6-----> 13/3
the answer Part a) is
the ratio of the perimeters is 13/3

b) find <span>the ratio of the areas of the larger figure to the smaller figure
we know that
area larger figure=[scale factor]</span>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
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