Rectangular 7082

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? Honors with a stride length of 60cm.

Correct 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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