Pool sidewalk fence

The rectangular pool has dimensions of 12m and 25m. They built a 2-wide sidewalk around the pool and a fence around the sidewalk. How long is the fence if they leave 1 m for the entrance hole?

Final Answer:

x =  89 m

Step-by-step explanation:

$$\begin{gathered} a=12\text{m} \\ b=25\text{m} \\ c=2\text{m} \\ w=1\text{m} \\ A=a+2\cdot c=12+2\cdot 2=16\text{m} \\ B=b+2\cdot c=25+2\cdot 2=29\text{m} \\ o=2\cdot (A+B)=2\cdot (16+29)=90\text{m} \\ x=o-w=90-1=89\text{m} \end{gathered}$$

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