If the area of a square is increased by 44%, by what percentage is the side of the square increased?(1) 11%(2) 12%(3) 20%(4) 44%
Question
If the area of a square is increased by 44%, by what percentage is the side of the square increased?
(1) 11%
(2) 12%
(3) 20%
(4) 44%
Solution
The area of a square is given by the formula A = s^2, where s is the side length. If the area is increased by 44%, we can write this as 1.44A = (ks)^2, where k is the factor by which the side length is increased.
We can then divide both sides by A to get 1.44 = k^2. Taking the square root of both sides gives k = sqrt(1.44) = 1.2.
Therefore, the side length of the square is increased by 20%. So, the correct answer is (3) 20%.
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