Question 49

The ratio of the areas of a square and a square on its diagonal is

Solution

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Let the side of the square be a cm. Hence the area shall be $$a\ cm^2$$

Hence, the diagonal of the square shall be $$a\sqrt{\ 2}$$, and a square with this side shall have an area of $$2a\ cm^2$$

Thus, the ratio of these two areas is 1:2

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