A rectangular field measures 50 meters by 30 meters. If a path 2 meters wide runs around the inside perimeter of the field, what is the area of the path?
["Title: Calculating the Area of a 2-Meter Wide Path in a Rectangular Field", "When planning outdoor spaces such as gardens, sports fields, or parking areas, understanding how to calculate the area of pathways through rectangular fields is essential. This SEO-optimized article explains step-by-step how to determine the area of a 2-meter-wide path running along the inside perimeter of a 50m by 30m rectangular field.", "---", "### Understanding the Field and the Path Layout", "The main rectangular field measures 50 meters in length and 30 meters in width. A 2-meter-wide path runs uniformly along the inside perimeter of the field. This means the path reduces the usable inner area for planting, sports, or walkways.", "---", "### Step-by-Step Calculation of the Path Area", "#### Step 1: Compute the Total Area of the Field\nThe area of a rectangle is calculated by multiplying length by width.", "[\n\ ext{Total field area} = 50, \ ext{m} \ imes 30, \ ext{m} = 1500, \ ext{m}^2\n]", "#### Step 2: Determine the Dimensions of the Inner Usable Area\nSince the path is 2 meters wide and runs all around the inside perimeter, it effectively reduces both the length and the width by twice the path width (2 meters on both sides).", "- Usable inner length:\n [\n 50, \ ext{m} - 2 \ imes 2, \ ext{m} = 46, \ ext{m}\n ]\n- Usable inner width:\n [\n 30, \ ext{m} - 2 \ imes 2, \ ext{m} = 26, \ ext{m}\n ]", "#### Step 3: Compute the Inner Usable Area\n[\n\ ext{Inner usable area} = 46, \ ext{m} \ imes 26, \ ext{m} = 1196, \ ext{m}^2\n]", "#### Step 4: Calculate the Area Occupied by the Path\nSubtract the inner usable area from the total field area:", "[\n\ ext{Path area} = \ ext{Total area} - \ ext{Inner area} = 1500, \ ext{m}^2 - 1196, \ ext{m}^2 = 304, \ ext{m}^2\n]", "---", "### Why This Calculation Matters", "This formula is valuable for landscapers, architects, and property managers who need to:\n- Estimate construction or maintenance costs for pathways.\n- Plan space usage and ensure accessibility.\n- Compare different field designs for optimal land use.", "---", "### Summary", "- The rectangular field is 50 m × 30 m → total area = 1500 m².\n- A 2 m wide path reduces usable inner dimensions to 46 m × 26 m → inner area = 1196 m².\n- The area of the path is 304 square meters.", "---", "### Key Takeaways", "- Always subtract twice the path width from each dimension to find usable inner space.\n- The formula works for any rectangular field and uniform path width.\n- Understanding such areas leads to better planning and resource allocation.", "---", "Keywords: rectangular field area, path area calculation, 2 meter wide path, inner area of field, field dimensions, outdoor space planning, area calculation for pathways, landscaping math.", "---", "Meta Description:\nLearn how to calculate the area of a 2-meter-wide path inside a 50m by 30m rectangular field. Step-by-step guide with formulae and real-world applications for precise land and pathway planning."]
