Cross five

The figure on the picture is composed of the same squares and has a content of 45cm². What's its perimeter?

Correct answer:

o =  36 cm

Step-by-step explanation:

$$\begin{gathered} S=45{\text{cm}}^2 \\ {S}_1=S\mathrm{/}5=45\mathrm{/}5=9{\text{cm}}^2 \\ {S}_1=a^2 \\ a=\sqrt{S_1}=\sqrt{9}=3\text{ cm } \\ o=4\cdot 3\cdot a=4\cdot 3\cdot 3=36\text{ cm} \end{gathered}$$

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