SOLUTION: The perimeter of 2 similar triangles are 16 cm and 24 cm, respectively. If the area of the larger triangle is 16 cm�, what is the area of the similar trianlge?

Question 1019091: The perimeter of 2 similar triangles are 16 cm and 24 cm, respectively. If the area of the larger triangle is 16 cm�, what is the area of the similar trianlge?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
The ratio of the areas of two similar shapes equals the square of the ratio of their perimeters...try and understand what that means...here the ratio of the perimeters is 16 to 24, or 2 to 3 when reduced.
If we square that we get (2/3)^2 = 4/9, or 4 to 9.
This is the ratio of their areas.
Then we set up a proportion to find the missing area...be careful to put the larger area on the bottom...

9x = 64
x = 64/9 cm^2 or about 7.11 cm^2
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