Pool sidewalk tiles

The rectangular pool has dimensions of 25 meters and 12.5 meters. A 2-meter wide path surrounds the pool. How many square meters of tiles are needed to pave a sidewalk?

Final Answer:

S =  166 m²

Step-by-step explanation:

$$\begin{gathered} a=25\text{m} \\ b=12.5\text{m} \\ c=2\text{m} \\ {S}_1=a\cdot b=25\cdot 12.5=\frac{625}{2}=312.5{\text{m}}^2 \\ {S}_2=(a+2\cdot c)\cdot (b+2\cdot c)=(25+2\cdot 2)\cdot (12.5+2\cdot 2)=\frac{957}{2}=478.5{\text{m}}^2 \\ S=S_2-S_1=478.5-312.5=166{\text{m}}^2 \end{gathered}$$

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