Question

Two numbers are in a ratio 3:5. What is the ratio between their squares? ​

Answer 1

let the two numbers be x and y.

Given ,

`\underline{\underline{(x)/(y) = (3)/(5)}} \\`

To find - ratio of squares of the two numbers.

`\longrightarrow \: \frac{ {x}^(2) }{ {y}^(2) } = ( \frac{ {3}^(2) }{ {5}^(2) } ) \\ \\ \longrightarrow \: \boxed{\frac{ {x}^(2) }{ {y}^(2) } = (9)/(25) }`

Therefore ,

`\underline{\underline{ratio \: of \: the \: squares \: of \: two \: numbers \: = \: 9 \: : \: 25}}`

hope helpful! :)