Flowerbed Diagonal Steps Saved

The rectangular flowerbed has dimensions of 20 m and 10 m. 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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