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Question 32

If the diagonals of a rhombus get doubled, then the area of the rhombus becomes ___ its original area.

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Solution

4 times
We know that,
Area of a rhombus =12×d1×d2
where, d1 and d2 are diagonals of the rhombus.
If diagonals get doubled, then the new diagonals are 2d1 and 2d2
Therefore, Area =122d1×2d2=4(12×d1×d2)
Hence, the new area becomes 4 times its original area.


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