A square plot of land has a side length of 50 meters. If a path of 2 meters wide is built around the plot, what is the area of the path?
["Understanding the Area of a Path Around a Square Plot: A Step-by-Step Calculation", "When planning landscaping, construction, or urban development, knowing the area of access routes or surrounding pathways around a property is essential. A common scenario involves a square plot of land with uniform side lengths, to which a paved or built path is added around its perimeter. This article explores how to calculate the area of such a path, using a specific case where a square plot has a side length of 50 meters and a 2-meter-wide path surrounds it.", "---", "### The Square Plot: Base Area and Dimensions", "Let’s start with the foundation: a square plot where each side measures 50 meters.", "- Side length = 50 m\n- Inner square area = ( 50 \ imes 50 = 2,500 , \ ext{m}^2 )", "This small square represents the central open space that remains after the surrounding path is constructed.", "---", "### Adding the Path: Updated Dimensions", "A 2-meter-wide path is built all around the plot, extending 1 meter to the left, right, top, and bottom. Therefore, each side of the plot is increased by:", "- 1 meter on each side = 2 meters total per dimension", "New total side length of the larger square (plot + path):", "[\n50 , \ ext{m} + 2 , \ ext{m} = 52 , \ ext{m}\n]", "- Outer square area = ( 52 \ imes 52 = 2,704 , \ ext{m}^2 )", "---", "### Calculating the Area of the Path", "The path itself occupies the region between the inner square and the outer square. To find its area:", "[\n\ ext{Area of path} = \ ext{Area of outer square} - \ ext{Area of inner square}\n]\n[\n\ ext{Area of path} = 2,704 , \ ext{m}^2 - 2,500 , \ ext{m}^2 = 204 , \ ext{m}^2\n]", "---", "### Why This Matters: Real-World Applications", "Understanding the area covered by access paths or driveways around a plot helps in:", "- Estimating construction or paving material quantities\n- Planning landscaping and green space usage\n- Calculating total land use versus usable area\n- Budgeting for infrastructure development", "In our example, a 2-meter-wide surrounding path increases the total area by 204 square meters—enough space for a garden bed, playground, or parking area, depending on the project’s goals.", "---", "### Summary", "- Square plot side: 50 m → Inner area: 2,500 m²\n- Path width: 2 m → Outer square: 52 m flank\n- Outer area: 2,704 m²\n- Area of path = 204 m²", "This simple geometric approach is vital for efficient planning and space management in real estate, architecture, and civil engineering projects.", "---", "Keywords: square plot area, path around square, compute path area, 50-meter square, geometric area calculation, landscape path area, access path dimensions", "By mastering such calculations, you empower smarter decisions in property development and land use optimization."]
