Question

The sides of two squares are in the ratio 3:7. Find the ratio of their areas...​

Answer 1

$\small \bold{Let \: sides \: of \: square \: both \: x_1, x_2}$

$\bold{then \: 2x^2_1 = 9 \: \: 2x^2_2 = 7}$

$\bold{x_1 = \frac{3}{ \sqrt{2} } \: \: \: x_2 = \frac{7}{ \sqrt{2} }}$

$\bold{Then=A_1 : A_2 = x {}^{2} _1 : x {}^{2} _2}$

$\bold{ = \frac{9}{2} : \frac{49}{2} }$

$\bold{A_1 : A_2 = 9 : 49}$