Answer :

2P = 39 cm

1) Since the first rectangle has a width of 8 cm and the perimeter (2P) of 26, and considering the side lengths we can write the following ratios:

[tex]\begin{gathered} \frac{side}{2P}=\frac{side\text{ figure 2}}{2P_2} \\ \frac{8}{26}=\frac{12}{x} \\ 8x=12\cdot26 \\ 8x=312 \\ \frac{8x}{8}=\frac{312}{8} \\ x=39 \end{gathered}[/tex]

Note that we can state this relationship between two similar geometric figures. The side over the Perimeter = corresponding side/ Respective Perimeter.

2) Hence, the answer is 39 cm

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