Question

The diagonals of two square are in ratio of 2:5 find the ratio of their area

Answer 1

Answer:

Step-by-step explanation:

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

→ Then ratio of their areas will be

→ Area of square = 1/2 × (diagonal)²

                           1/2 × 2x² : 1/2 × 5x²

                            4x² : 25x²

                             4:25

Answer 2

Step-by-step explanation:

Given, ratio of diagonal of squares=2:5

$digonal \: \: of \: square = a \sqrt{2} \\ \: where... \: a = side \\ side \: of \: first \: square = \frac{2}{ \sqrt{2} } = \sqrt{2} \\ and \: side \: of \: second \: square = \frac{5}{ \sqrt{2} } \\ \: ratio = \frac{ \sqrt{2} }{ \frac{5}{ \sqrt{2} } } = \frac{2}{5}$

answer=4:25