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

• A. Becomes four fold
• B. Becomes three fold
• C. None of these
• D. Becomes two fold

Answer: (A)

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