RollieK640728 RollieK640728
  • 26-10-2022
  • Mathematics
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if the ratio of similarity of the figures above is 2/3, then what is the ratio of the areas of the two figures?

if the ratio of similarity of the figures above is 23 then what is the ratio of the areas of the two figures class=

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HarshF295833 HarshF295833
  • 26-10-2022

Solution

For this case we can find the ratio in the following way:

10/15 = 2/3

And the ratio of the areas are given by:

[tex]\frac{A_1}{A_2}=\frac{b_1h_1}{b_2h_2}=\frac{2}{3}\cdot\frac{2}{3}=\frac{4}{9}[/tex]

Then the ratio of the area is 4/9

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