Question : If the area of a square is increased by 44%, retaining its shape as a square, each of its sides increases by:
Option 1: 19%
Option 2: 21%
Option 3: 22%
Option 4: 20%
Correct Answer: 20%
Solution :
Let the side of a square = $x$ units
Area of this square = $x^2$
Area after 44% increase = $x^2 + \frac{44}{100} x^2 = 1.44 x^2$
Side of the larger square = $\sqrt{(1.44 x^2)} = 1.2x$ units
Percentage increase in side = $\frac{1.2x-x}{x}\times 100$
= 20%
Hence, the correct answer is 20%.
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