Question

The are of a square and that of a square drawn on its diagonal are in ratio

Choose one answer.

a. 1:3
b. 1:2
c. 1:6
d. 1:4

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Answer 1

1 : 2

Let the side of square be a unit.

Area of this square = a^{2}

The diagonal of square = underroot{2}a

∴ Area of square = 2a^{2}

∴ Required Ratio = a^{2} : 2a^{2}

= 1 : 2

Hence option [C] is the right answer.