Question

The diagonals of two squares are in the ratio 5 2 the ratio of their area is

Answer 1

$\bf{\huge{\underline{\boxed{\sf\orange{Answer:\:25:4}}}}}$

Given :

• Diagonals of two squares are in the ratio 5 : 2.

To Find :

• Ratio of their areas

$\huge\underline\green{\tt Solution:}$

Let the common factor in in their ratios be ' x '

So,

diagonals will be 5x and 2x.

→ Area of Square = $\dfrac{1}{2} \times diagonal^2$

= $\dfrac{1}{2}\times(5x)^2$ : $\dfrac{1}{2} \times (2x)^2$

= $25x^2 : 4x^2$

= $25 : 4$

Answer : Ratio of their areas is 25 : 4

Answer 2

Let the diagonals of the squares be 2x and 5x respectively.

Ratio of their areas = 12*(2x)2:12*(5x)2=4:25