If the ratio of areas of two squares is 225: | vedclass

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(C) Let the sides of the two squares be $a_1$ and $a_2$ respectively.The area of a square is given by the formula $	ext{Area} = a^2$.Given the ratio

Vedclass · Accepted Answer

$15:16$

Vedclass · Answer

(C) Let the sides of the two squares be $a_1$ and $a_2$ respectively.The area of a square is given by the formula $	ext{Area} = a^2$.Given the ratio of areas: $\frac{A_1}{A_2} = \frac{a_1^2}{a_2^2} = \frac{225}{256}$.Taking the square root of both sides,we get: $\frac{a_1}{a_2} = \sqrt{\frac{225}{256}} = \frac{15}{16}$.The perimeter of a square is given by the formula $P = 4a$.The ratio of their perimeters is: $\frac{P_1}{P_2} = \frac{4a_1}{4a_2} = \frac{a_1}{a_2} = \frac{15}{16}$.Thus,the ratio of their perimeters is $15:16$.

If the ratio of areas of two squares is $225: 256,$ then the ratio of their perimeters is

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