Question
A rectangular park measures 50 meters by 40 meters, and a triangular flower bed with a base of 20 meters and a height of 15 meters is located inside the park. What is the remaining grassy area of the park?
(4 Points)
1,950 m²
1,850 m²
1,700 m²
1,600 m²
(4 Points)
1,950 m²
1,850 m²
1,700 m²
1,600 m²
Answers
GPT-4o mini
To find the remaining grassy area of the park, we need to calculate the area of the rectangular park and subtract the area of the triangular flower bed.
1. **Calculate the area of the rectangular park:**
\[
\text{Area of the park} = \text{length} \times \text{width} = 50 \, \text{m} \times 40 \, \text{m} = 2000 \, \text{m}^2
\]
2. **Calculate the area of the triangular flower bed:**
\[
\text{Area of the triangle} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 20 \, \text{m} \times 15 \, \text{m} = 150 \, \text{m}^2
\]
3. **Calculate the remaining grassy area of the park:**
\[
\text{Remaining area} = \text{Area of the park} - \text{Area of the triangle} = 2000 \, \text{m}^2 - 150 \, \text{m}^2 = 1850 \, \text{m}^2
\]
Thus, the remaining grassy area of the park is:
\[
\boxed{1850 \, \text{m}^2}
\]
1. **Calculate the area of the rectangular park:**
\[
\text{Area of the park} = \text{length} \times \text{width} = 50 \, \text{m} \times 40 \, \text{m} = 2000 \, \text{m}^2
\]
2. **Calculate the area of the triangular flower bed:**
\[
\text{Area of the triangle} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 20 \, \text{m} \times 15 \, \text{m} = 150 \, \text{m}^2
\]
3. **Calculate the remaining grassy area of the park:**
\[
\text{Remaining area} = \text{Area of the park} - \text{Area of the triangle} = 2000 \, \text{m}^2 - 150 \, \text{m}^2 = 1850 \, \text{m}^2
\]
Thus, the remaining grassy area of the park is:
\[
\boxed{1850 \, \text{m}^2}
\]