Gometry riddle (10 marks)?

Asad1

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if a square if formed by the diagonal of the square as an edge what is the ratio between the area of new and old square?
i want to know how it is calculated not just the ans
 
the diagonal is the hypotenuse of a right triangle
if the original square is 1^2
then the hypotenuse is sqrt2

so the area of the new square is (sqrt2)(sqrt2)
which is 2

the ratio of the areas is 2:1
 
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