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If the diagonal of a square is double, how does the area of the square change?

Becomes four fold
Becomes three fold
Becomes two fold
None of the above

Correct Answer: Becomes four fold

Explanation:

Ratio of the areas = area of original square / area of new square
= [ d² / 2 ] / [ (2d)² / 2 ] = 1/4
∴ New area becomes 4 fold.

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