If both diagonals of a rhombus are doubled, its area becomes:

If both diagonals of a rhombus are doubled, its area becomes:
  1. Twice
  2. Four times
  3. Same
  4. Half

Solution

Area $= \dfrac{1}{2} d_{1} d_{2}$. New area $= \dfrac{1}{2}(2d_{1})(2d_{2}) = 4 \cdot \dfrac{1}{2} d_{1} d_{2}$. Hence the area becomes four times.

Asked in: IMO

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