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Question: If all sides of a square are doubled, the area of that square _______.


A ) is multiplied by 4
B ) is multiplied by 16
C ) is doubled
D ) remains same

Steps to derive

1 Let the length of the sides of the square be s units.


2 Area of the square = side2 = s2 square units.

3 If all sides of a square are doubled, then each side length of the square would be 2s units.


4 Area of the new square = side2 = (2s units)2 = 4s 2square units.

5 Therefore, the area of the new square will be four times the area of the original square.



Hence the right answer is Option A

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