Question

The ratio of the area of a square to that of the square drawn on its diagonal is

A) 1:2 B) 2

Answer 1

Let the length of side of the square be a units

Area of the square=a^2 unit^2

The length of the diagonal = (2^1/2)a units

Area of square drawn on its diagonal

= (2^1/2)a ^2 = 2a^2 unit^2

Thus, the required ratio = a^2/2a^2 =1/2 = 1:2

Thus, the correct ans is (A) 1:2

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