Garden fence mesh

The actual area of the square garden is zero whole zero, 875 hectares. How many meters of mesh will Mr. Novák need to fence it if a gate 80 cm wide and 2 m high leads to the garden?

Final Answer:

x =  117.5216 m

Step-by-step explanation:

$$\begin{gathered} S=0.0875\text{ha}\to {\text{m}}^2=0.0875\cdot 10000{\text{m}}^2=875{\text{m}}^2 \\ d=80\text{cm}\to \text{m}=80:100\text{m}=0.8\text{m} \\ S=a^2 \\ a=\sqrt{S}=\sqrt{875}=5\sqrt{35}\text{m}\doteq 29.5804\text{m} \\ x=4\cdot a-d=4\cdot 29.5804-0.8=117.5216\text{m} \end{gathered}$$

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