# Square to rectangle

What is the ratio of the area of a square of side x to the area of a rectangle of a rectangle of width 2 x and length 3

Result

r =  1:6

#### Solution:

$S_{1}=x^2 \ \\ S_{2}=2x \cdot \ 3=6x \ \\ \ \\ r=S_{1} / S_{2} \ \\ r=1 / 6=\dfrac{ 1 }{ 6 } \doteq 0.1667≈ 0.1667 \doteq 1:6$

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