• # question_answer If the ratio of the areas of two squares is 225 : 256, then the ratio of their perimeter is A)  225 : 256        B)  256 : 225 C)  15 : 16           D)  16 : 15

$\frac{{{A}_{1}}}{{{A}_{2}}}=\frac{225}{256}$ $\Rightarrow$ ${{\left( \frac{{{a}_{1}}}{{{a}_{2}}} \right)}^{2}}=\frac{225}{256}={{\left( \frac{15}{16} \right)}^{2}}$ $\Rightarrow$ $\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{15}{16}$ Ratio of their r perimeter $=\frac{4{{a}_{1}}}{4{{a}_{2}}}=\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{15}{16}$