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Question

If each side of a square is doubled, the factor by which area of the square will change is ___ times.


Solution

Let the side of the square be 'a'.
Area = a2
After doubling, the side of the square = 2a
Now, area = (2a)2 = 2a×2a = 4a2
The factor by which area of the square will change is 4 times the initial area.

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