# If all sides of a square are increased by 200 % then its area is increased by ? a)800 b)700 c)600 d)750

Let the side of square be a

Now the side of square is increased by 200%, so new side will be a'=a+200% of a=3a

So new area, A'=(3a)2=9a2

So percentage increase in area=   $\left[\frac{9a^2-a^2}{a^{2}} \times 100\right] \%=800 \%$

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