A square garden has a side length of 10 meters. A path 1 meter wide is built around it. What is the area of the path?
["Optimizing Outdoor Space: Calculating the Area of a Path Around a Square Garden", "When designing an outdoor space, efficiency and aesthetics matter. A common layout involves a square garden with a surrounding path that enhances usability and visual appeal. In this article, we explore a practical scenario: a square garden with each side measuring 10 meters, and a 1-meter-wide path built around it. Understanding the area of this path unlocks insights into smart garden planning and space utilization.", "### Understanding the Garden and Path Design", "The central square garden has a side length of 10 meters. A path 1 meter wide surrounds the garden uniformly on all sides. This path creates an outer boundary that forms a larger square, increasing both the width and the length of the entire area.", "To compute the area of the path alone, we cannot rely solely on the inner garden dimensions — we must first calculate the total area inside the path, then subtract the area of the garden.", "### Step-by-Step Calculation of the Path Area", "1. Calculate the outer dimensions including the path", "- The garden’s side length is 10 meters.\n- Adding a 1-meter-wide path on each side increases the garden’s effective size in both width and length by 2 meters (1 meter on each side).\n- Therefore, the outer square formed by garden plus path has a side length of:", "[\n10,\ ext{m} + 2 \ imes 1,\ ext{m} = 12,\ ext{meters}\n]", "2. Calculate the total area (garden + path)", "[\n\ ext{Outer area} = 12,\ ext{m} \ imes 12,\ ext{m} = 144,\ ext{m}^2\n]", "3. Calculate the area of the garden alone", "[\n\ ext{Garden area} = 10,\ ext{m} \ imes 10,\ ext{m} = 100,\ ext{m}^2\n]", "4. Find the area of the path", "Subtract the garden area from the total area:", "[\n\ ext{Path area} = \ ext{Outer area} - \ ext{Garden area} = 144,\ ext{m}^2 - 100,\ ext{m}^2 = 44,\ ext{m}^2\n]", "### Conclusion", "A square garden with a side length of 10 meters surrounded by a 1-meter-wide path increases the total area by 44 square meters, entirely accounted for by the path. This method demonstrates how simple geometry helps quantify outdoor features — essential for landscapers, homeowners, and urban planners aiming to optimize green spaces efficiently.", "By understanding how paths contribute to usable area, you can design gardens that balance beauty, function, and smart space use. Whether expanding a backyard retreat or planning community green spaces, precise calculations like these empower better design decisions.", "Keywords: square garden 10m side, path around square garden, area of path calculation, outdoor space planning, garden layout math, perimeter and area calculation, garden path area", "Meta Description: A 10-meter square garden with a 1-meter-wide path around it creates a 44 square meter path area. Learn how to calculate outdoor path area for better garden design."]
