Question

On a field whose length is 25 meters and width is 12 meters, a house was built in the shape of a square whose side is 9 meters. What's the area of the garden?

Answer 1

To find the area of the garden, we first need to determine the area of the entire field and then subtract the area of the house from it.

1. **Calculate the area of the field:**
\[
\text{Area of the field} = \text{length} \times \text{width} = 25 \, \text{m} \times 12 \, \text{m} = 300 \, \text{m}^2
\]

2. **Calculate the area of the house:**
Since the house is in the shape of a square with each side measuring 9 meters, the area of the house is:
\[
\text{Area of the house} = \text{side} \times \text{side} = 9 \, \text{m} \times 9 \, \text{m} = 81 \, \text{m}^2
\]

3. **Calculate the area of the garden:**
The area of the garden is the area of the field minus the area of the house:
\[
\text{Area of the garden} = \text{Area of the field} - \text{Area of the house} = 300 \, \text{m}^2 - 81 \, \text{m}^2 = 219 \, \text{m}^2
\]

Thus, the area of the garden is \( \boxed{219 \, \text{m}^2} \).