Triangle perimeter similarity

Calculate the perimeter of triangle ABC if you know that it is similar to triangle EFG in which e=144 mm, f=164 mm, g=92 mm, and the similarity ratio is 4. Express the result in cm.

Final Answer:

o₁ =  160 cm

Step-by-step explanation:

$$\begin{gathered} e=144\text{mm}\to \text{cm}=144:10\text{cm}=14.4\text{cm} \\ f=164\text{mm}\to \text{cm}=164:10\text{cm}=16.4\text{cm} \\ g=92\text{mm}\to \text{cm}=92:10\text{cm}=9.2\text{cm} \\ {o}_2=e+f+g=14.4+16.4+9.2=40\text{cm} \\ r=4 \\ r=o_1:o_2 \\ {o}_1=r\cdot o_2=4\cdot 40=160\text{cm} \end{gathered}$$

Try another example