Question

The area of two square fields are respectively 529 and 2116 square
metres. Find the ratio of their sides.

Answer 1

★ Given:

• The area of two square fields are respectively 529 and 2116 square

★ To find:

• The ratio of their sides

★ Solution:

☯︎ 1st square field

Let x be the side of field

$\sf\rightsquigarrow \: \:{{x}^{2} = 529}$

$\sf\rightsquigarrow \: \:{x = \sqrt{529} }$

$\sf\rightsquigarrow \: \:{x = 23}$

☯︎ 2nd square field

Again,

Let x be the side of field

$\sf\rightsquigarrow \: \:{ {x}^{2} = 2116 }$

$\sf\rightsquigarrow \: \:{x = \sqrt{2116} }$

$\sf\rightsquigarrow \: \:{x = 46}$

Now, we are knowing the side of both square fields

So, their ratio are,

$\sf\Longrightarrow \: \:{\cancel\frac{^123}{46_2} = \frac{1}{2} }$

$\sf\therefore \:{The \: ratio \: of \: both \: \square \: fields \: are \: 1:2}$