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

1 : 1

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1 : 2

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1 : 3

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1 : 4

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Solution

The correct option is A $1 : 2$
Let each side of the square = x units, Then, length of diagonal $= x \sqrt{2}$ units
Reqd. ratio $= \frac{Area of square}{Area of square on diagonal}$
$= \frac{x^{2}}{(x \sqrt{2})^{2}} = \frac{1}{2} = 1 : 2$

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

The correct option is A 1:2Let each side of the square = x units, Then, length of diagonal =x√2 unitsReqd. ratio =Area of squareArea of square on diagonal=x2(x√2)2=12=1:2

The correct option is A $1 : 2$
Let each side of the square = x units, Then, length of diagonal $= x \sqrt{2}$ units
Reqd. ratio $= \frac{Area of square}{Area of square on diagonal}$
$= \frac{x^{2}}{(x \sqrt{2})^{2}} = \frac{1}{2} = 1 : 2$