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Question
If the diagonals of a rhombus get doubled, then the area of the rhombus becomes ______ its original area.
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Solution
If the diagonals of a rhombus get doubled, then the area of the rhombus becomes 4 times its original area.
Explanation:
We know that,
Area of a rhombus = `1/2 xx d_1 xx d_2`
Where, d1 and d2 are diagonals of the rhombus.
If diagonals get doubled, then the area = `1/2 2d_1 xx 2d_2 = 4(1/2 xx d_1 xx d_2)`
Hence, the new area becomes 4 times its original area.
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