Question

if the ratio of perimeter of 2 similar triangle in 4:25 find the ratio of their areas

Answer 1

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your solution :♂
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Answer 2

If the ratio of perimeter of 2 similar triangle in 4:25 then the ratio of their areas is 16:625

Solution:

Given, the ratio of perimeter of 2 similar triangle is 4 : 25  

We have to find the ratio of their areas.

Now, we have that, ratio of perimeters = 4 : 25

Then, ratio of corresponding sides = 4 : 25 [since given triangles are similar]

So, ratio of areas = ratio of squares of corresponding sides

$\begin{array}{l}{=4^{2}: 25^{2}} \\ {=16: 625}\end{array}$

Hence, the ratio of areas of given triangles is 16 : 625.