Flowerbed Diagonal Steps Saved

The rectangular flowerbed has dimensions of 20m and 10m. How many steps will you save if you walk along its diagonal instead of walking along its two sides? Assume a stride length of 60 cm.

Final Answer:

n =  13

Step-by-step explanation:

$$\begin{gathered} a=20\text{m} \\ b=10\text{m} \\ s=60\text{cm}\to \text{m}=60:100\text{m}=0.6\text{m} \\ {s}_1=a+b=20+10=30\text{m} \\ {s}_2=\sqrt{a^2+b^2}=\sqrt{20^2+10^2}=10\sqrt{5}\text{m}\doteq 22.3607\text{m} \\ {n}_1=s_1/s=30/0.6=50 \\ {n}_2=s_2/s=22.3607/0.6\doteq 37.2678 \\ n=n_1-n_2=50-37.2678=13 \end{gathered}$$

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