Grandfather's 5067

Jirka has a step length of 40 cm. He takes six hundred steps around his grandfather's garden. The length of the garden is three times greater than its width. Jirka wanted to calculate his grandfather's garden's length, width, and area.

Final Answer:

a =  90 m
b =  30 m
S =  2700 m²

Step-by-step explanation:

$$\begin{gathered} o=0.40\cdot 600=240\text{m} \\ a=3b \\ o=2(a+b)=2(3b+b)=8b \\ b=o/8=240/8=30 \\ a=3\cdot b=3\cdot 30=90\text{m} \end{gathered}$$

$b=30=30\text{m}$

$S=a\cdot b=90\cdot 30=2700{\text{m}}^2$

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