Ratio of sides 2

The ratio of the side lengths of one square to another is 1:2. Find the ratio of the area of the two squares.

Correct result:

r =  1:4

Solution:

a1=11+2=13≐0.3333 a2=21+2=23≐0.6667  k=a1/a2=0.3333/0.6667=12=0.5  S1=a12 S2=a22 r=S1/S2=a12:a22=a12:(ka1)2  r=k2=0.52=14=0.25=1:4

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