If the area of a square increases by 69%, then the side of the square increases by ---

A 13%
B 30%
C 39%
D 69%

Correct Answer: 30%

Let the initial side of the square be X. Initial area = X2 New area = X2 + 69% of X2  = 169% of X2  = 169 / 100 x X2  = 1.69X2 So, new side = √(1.69X2) = 1.3X Therefore, increase in side = (1.3X - X) / X x 100% =  30%
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