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 \( \boxed{219 , \text{m}^2} \).