1. **Problem Statement:** (a) A rectangular park measures 50m by 40m. A 3m flower bed is made around the two longer sides and one short side. A circular fish pond of diameter 8.0m is constructed in the centre of the park. Find the area of the grass, correct to the nearest square metre. 2. **Formula and Important Rules:** - Area of rectangle = length \times width - Area of circle = $$\pi r^2$$ - The flower bed surrounds two longer sides and one short side, so we calculate the total area including flower bed and subtract the flower bed area. - The grass area = total park area - flower bed area - fish pond area 3. **Step-by-step Solution:** - Original park dimensions: length = 50m, width = 40m - Flower bed width = 3m - New dimensions including flower bed on two longer sides and one short side: - Length including flower bed = 50m + 2 \times 3m = 56m (since flower bed is on both longer sides) - Width including flower bed = 40m + 3m = 43m (flower bed on one short side only) - Area including flower bed = 56m \times 43m = 2408 m² - Area of original park = 50m \times 40m = 2000 m² - Area of flower bed = 2408 m² - 2000 m² = 408 m² - Fish pond diameter = 8.0m, radius $$r = \frac{8.0}{2} = 4.0m$$ - Area of fish pond = $$\pi \times 4.0^2 = 16\pi \approx 50.27 m^2$$ - Grass area = original park area - fish pond area - flower bed area = 2000 m² - 50.27 m² - 408 m² = 1541.73 m² - Rounded to nearest square metre: 1542 m² **Final answer:** The area of the grass is approximately **1542 m²**.