A rectangular garden is 15 meters long and 10 meters wide. A path 1 meter wide runs along the inside perimeter of the garden. What is the area of the path?
["The Area of a Garden Path in a Rectangular Landscape", "If you’re planning a rectangular garden measuring 15 meters long by 10 meters wide, and you’ve incorporated a 1-meter-wide path along the inside perimeter, calculating the area of this path is essential for accurate planning, landscaping, and even cost estimation. In this SEO-optimized article, we’ll explore how to determine the area of such a path and why understanding it matters for gardeners, homeowners, and designers.", "### Understanding the Garden and the Path Layout", "Given the rectangular garden dimensions:\n- Length (L): 15 meters\n- Width (W): 10 meters", "A uniform 1-meter wide path runs along the inside perimeter, creating a border within the garden. This means the path occupies space, reducing the actual planting area.", "### Step 1: Calculate the Area of the Entire Garden", "First, find the total area of the garden:\n[ \ ext{Area}{\ ext{garden}} = \ ext{Length} \ imes \ ext{Width} = 15,m \ imes 10,m = 150, \ ext{m}^2 ]", "### Step 2: Determine the Inner Garden Dimensions", "Since the path is 1 meter wide along all four sides, it reduces both the length and width by 2 meters each (1 meter on each side):", "- New length:\n [ 15,m - 2 \ imes 1,m = 13,m ]\n- New width:\n [ 10,m - 2 \ imes 1,m = 8,m ]", "Hence, the area of the inner planting space (excluding the path) is:\n[ \ ext{Area}^2 ]", "### Step 3: Calculate the Area of the Path", "Subtract the inner planting area from the total garden area to find the path’s area:}} = 13,m \ imes 8,m = 104, \ ext{m\n[ \ ext{Area}{\ ext{path}} = \ ext{Area}^2 ]", "### Why This Calculation Matters", "Accurately determining the area of the garden path is crucial for:}} - \ ext{Area}_{\ ext{inner}} = 150, \ ext{m}^2 - 104, \ ext{m}^2 = 46, \ ext{m\n- Planning paving, gravel, or wooden deck materials\n- Budgeting for materials and labor\n- Ensuring proper drainage around the path\n- Optimizing usable planting space in small gardens", "### Final Summary", "- Overall garden area: 150 m²\n- Inner planting area (after 1m path): 104 m²\n- Path area: 46 m²", "Understanding these measurements helps gardeners and homeowners balance aesthetics and utility. If you’re designing or maintaining a garden with an internal path, knowing the area of just the path ensures efficient use of space and resources.", "---", "Keywords: rectangular garden area, garden path area, inner garden dimensions, path width calculation, garden planting space\nMeta Description: Discover how to calculate the area of a 1-meter wide path inside a rectangular garden measuring 15m x 10m. Learn exact steps and why this measurement matters for landscaping.", "Optimize your garden projects with precise area calculations — every square meter counts!"]
