Forest plot ratio

The sides of the rectangular forest plot are in the ratio 11:7. The shorter side of the plot is 175 meters long.
Calculate the longer side of the rectangular plot.

How many steps would we take if we went around the whole lot? The length of 1 step is 60 cm on average.

Final Answer:

a =  275 m
n =  1500

Step-by-step explanation:

$$\begin{gathered} a:b=11:7 \\ a>b \\ b=175\text{m} \\ a=b\cdot \frac{11}{7}=175\cdot \frac{11}{7}=\frac{175\cdot 11}{7}=\frac{1925}{7}=275\text{m} \end{gathered}$$

$$\begin{gathered} k=60\text{cm}\to \text{m}=60:100\text{m}=0.6\text{m} \\ o=2\cdot (a+b)=2\cdot (275+175)=900\text{m} \\ n=o/k=900/0.6=1500 \end{gathered}$$

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