A) \[\text{16}:\text{625}\]
B) \[\text{2}:\text{5}\]
C) \[5:2\]
D) \[\text{625}:\text{16}\]
Correct Answer: A
Solution :
| [a] Let \[\Delta ABC-\Delta PQR.\] |
| Since, ratio of areas of two similar triangles is equal to the square of the ratio of any two corresponding sides. |
| The,\[\frac{ar(\Delta ABC)}{ar(\Delta PQR)}={{\left( \frac{AB}{PQ} \right)}^{2}}={{\left( \frac{\text{Perimeter of}\,\Delta ABC}{\text{Perimeter of}\,\Delta PQR} \right)}^{2}}\]\[={{\left( \frac{4}{25} \right)}^{2}}=\frac{16}{625}\] |
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