Square grid

A square grid consists of a square with sides of a length of 1 cm. Draw at least three patterns, each with an area of 6 cm² and a circumference of 12 cm, and their sides in a square grid.

Correct answer:

x =  0

Step-by-step explanation:

$$\begin{gathered} s=1\text{cm} \\ S=6{\text{cm}}^2 \\ o=12\text{cm} \\ S=ab \\ o=2a+2b \\ ooo \\ ooo \\ 6=ab \\ 12=2a+2b \\ 6=ab \\ 6=a+b \\ 6=a(6-a) \\ {a}^2-6a+6=0 \\ p=1;q=-6;r=6 \\ D=q^2-4pr=6^2-4\cdot 1\cdot 6=12 \\ D>0 \\ {a}_{1,2}=\frac{-q\pm \sqrt{D}}{2p}=\frac{6\pm \sqrt{12}}{2}=\frac{6\pm 2\sqrt{3}}{2} \\ {a}_{1,2}=3\pm 1.732051 \\ {a}_1=4.732050808 \\ {a}_2=1.267949192 \\ x=0 \end{gathered}$$

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