A) 225 : 256
B) 256 : 225
C) 15 : 16
D) 16 : 15
Correct Answer: C
Solution :
\[\because \] \[\frac{{{A}_{1}}}{{{A}_{2}}}=\frac{225}{256}\] \[\Rightarrow \] \[{{\left( \frac{{{a}_{1}}}{{{a}_{2}}} \right)}^{2}}=\frac{225}{256}={{\left( \frac{15}{16} \right)}^{2}}\] \[\Rightarrow \] \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{15}{16}\] \[\therefore \] Ratio of their perimeter \[=\frac{4{{a}_{1}}}{4{{a}_{2}}}=\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{15}{16}=15:16\]
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