Question

the diagonals of two squares are in the ratio 5:2. the ratio of their area is?

Answer 1

let the diagonals of the squares be 5 x and 2 x

now the ratios if the area

area of square = 1/2 × diagonal raised to 2

1/2 × 5 x raised to 2 : 1/2 × 2 x raised to 2

25 x raised to 2: 4 x raised to 2

= 25 : 4

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