Tripled square

If you tripled the length of the sides of the square ABCD you increases its content by 200 cm2. How long is the side of the square ABCD?

Result

a =  5 cm

Solution:

a2=S (3a)2=S+200 9a2=S+200 9a2=a2+200 8a2=200 a2=200/8 a=200/(321)=5 cma^2=S \ \\ (3a)^2=S+200 \ \\ 9a^2=S+200 \ \\ 9a^2=a^2+200 \ \\ 8a^2=200 \ \\ a^2=200/8 \ \\ a=\sqrt{ 200/(3^2-1) }=5 \ \text{cm}



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