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?

Question

(4 Points)

1,950 m²

1,850 m²

1,700 m²

1,600 m²

Answer 1

To find the remaining grassy area of the park, we need to first calculate the area of the rectangular park and then subtract the area of the triangular flower bed.

1. Calculate the area of the rectangular park: \[ \text{Area of the rectangular park} = \text{length} \times \text{width} = 50 , \text{m} \times 40 , \text{m} = 2000 , \text{m}^2 \]

2. Calculate the area of the triangular flower bed: \[ \text{Area of the triangular flower bed} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 20 , \text{m} \times 15 , \text{m} = \frac{1}{2} \times 300 , \text{m}^2 = 150 , \text{m}^2 \]

3. Calculate the remaining grassy area: \[ \text{Remaining grassy area} = \text{Area of the rectangular park} - \text{Area of the triangular flower bed} = 2000 , \text{m}^2 - 150 , \text{m}^2 = 1850 , \text{m}^2 \]

Therefore, the remaining grassy area of the park is 1,850 m².