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If two triangles are similar and the ratio of their perimeters is 3 : 5, then the ratio of their areas is
A3 : 5
B5 : 3
C9 : 25
D6 : 10
Answer & Solution
Correct answer: C. 9 : 25
1. Perimeter scales linearly with side, so perimeter ratio equals side ratio = 3 : 5.
2. Area ratio equals the square of side ratio.
3. 3 squared : 5 squared = 9 : 25.
_Source: NCERT Class 10 Mathematics, Ch 6 "Triangles", §6.4_
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