Two tasks

A children's sandbox has the shape of a triangle, two sides measure equally 3 metres and the last one has 50 dm. Calculate the perimeter of the children's sandbox in mm.

A children's mould has the shape of a triangle with all three sides of the same length 29 mm. How long a line will Zuzka draw when she traces it four times in a row.

An interesting real estate plot in the shape of a triangle with three equally long sides has a perimeter of 357 m. What is the length of a side of this plot?

Final Answer:

o₁ =  11000 mm
o₂ =  348 mm
c₃ =  119 m

Step-by-step explanation:

$$\begin{gathered} a=3\text{m}\to \text{mm}=3\cdot 1000\text{mm}=3000\text{mm} \\ b=50\text{dm}\to \text{mm}=50\cdot 100\text{mm}=5000\text{mm} \\ {o}_1=2\cdot a+b=2\cdot 3000+5000=11000\text{mm} \end{gathered}$$

$$\begin{gathered} a_2=29\text{mm} \\ {o}_2=4\cdot 3\cdot a_2=4\cdot 3\cdot 29=348\text{mm} \end{gathered}$$

$$\begin{gathered} o_3=357\text{m} \\ {c}_3=o_3/3=357/3=119\text{m} \end{gathered}$$

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