Question

A park shaped like a square with a side of 30 meters has an alley with the width of 2 meters. What's the area of the remaining zone?

Answer 1

To find the area of the remaining zone after accounting for the alley in the square park, we first calculate the area of the entire park and then the area occupied by the alley.

1. **Area of the square park:**
\[
\text{Area of park} = \text{side}^2 = 30^2 = 900 \text{ square meters}
\]

2. **Dimensions of the park excluding the alley:**
The alley runs along the edges of the park, reducing the width and length by twice the width of the alley (because the alley is on both sides). Since the width of the alley is 2 meters, we calculate the effective dimensions:
\[
\text{Length without alley} = 30 - 2 \times 2 = 30 - 4 = 26 \text{ meters}
\]

3. **Area of the remaining zone (the area inside the alley):**
\[
\text{Area of remaining zone} = \text{Length without alley}^2 = 26^2 = 676 \text{ square meters}
\]

4. **Conclusion:**
The area of the remaining zone after the alley has been taken into consideration is:
\[
\text{Area of the remaining zone} = 676 \text{ square meters}
\]

Thus, the area of the remaining zone is **676 square meters**.