## Task 3 - V00603

Around a swimming pool with a basin size of $50 \mathrm{~m}$ by $30 \mathrm{~m}$, a $1.20 \mathrm{~m}$ wide path is to be laid with cement slabs.

How many slabs are required if the slabs measure $30 \mathrm{~cm}$ by $30 \mathrm{~cm}$?
The area to be covered is the difference between the two rectangles (see figure). Thus, for the area,

$$
F=52.4 \mathrm{~m} \cdot 32.4 \mathrm{~m}-50 \mathrm{~m} \cdot 30 \mathrm{~m}=197.76 \mathrm{~m}^{2}
$$

A tile has an area of $0.3 \mathrm{~m} \cdot 0.3 \mathrm{~m}=0.09 \mathrm{~m}^{2}$. Therefore, one needs $\frac{197.76}{0.09}=2197.3 \approx 2200$ tiles.

![](https://cdn.mathpix.com/cropped/2024_06_06_b85a894aa8dbf722a7b3g-0151.jpg?height=407&width=658&top_left_y=1924&top_left_x=1150)