Rectangular 8297

Peter has a step 50 cm long, and his brother Juraj is 80 cm. Both went around a rectangular course 25 meters long and 15 meters wide. How many steps did Petr take compared to Juraj?

Correct answer:

d =  60

Step-by-step explanation:

$$\begin{gathered} P=50\text{cm}\to \text{m}=50:100\text{m}=0.5\text{m} \\ J=80\text{cm}\to \text{m}=80:100\text{m}=0.8\text{m} \\ a=25\text{m} \\ b=15\text{m} \\ o=2\cdot (a+b)=2\cdot (25+15)=80\text{m} \\ {n}_1=o/P=80/0.5=160 \\ {n}_2=o/J=80/0.8=100 \\ d=n_1-n_2=160-100=60 \end{gathered}$$

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