A square plot of land has a perimeter of 64 meters. Find the area of the plot in square meters.
["Finding the Area of a Square Plot with a Perimeter of 64 Meters", "When dealing with geometric shapes, understanding the relationship between perimeter and area is essential—especially for practical applications like land measurement. In this article, we’ll explore how to calculate the area of a square plot of land when given its perimeter, using a real-world example with a perimeter of 64 meters.", "### What is a Square Plot?", "A square plot is a flat, four-sided land area where all sides are equal in length. This symmetry simplifies calculations, making it easier to determine both perimeter and area. Since each side of a square is the same, the perimeter formula simplifies into a straightforward calculation.", "---", "### Given: Perimeter of the Square Plot\nThe perimeter is 64 meters.", "The perimeter ( P ) of a square is calculated by:\n[\nP = 4 \ imes \ ext{side length}\n]", "Let ( s ) be the length of one side. Then:\n[\n4s = 64\n]", "Solving for ( s ):\n[\ns = \frac{64}{4} = 16 \ ext{ meters}\n]", "---", "### Calculating the Area\nThe area ( A ) of a square is given by:\n[\nA = s^2\n]", "Substituting the side length:\n[\nA = 16^2 = 256 \ ext{ square meters}\n]", "---", "### Real-World Application\nImagine a small parcel of land measuring 16 meters on each side. With a total perimeter of 64 meters, the area covers 256 square meters—enough space for a modest home, garden, or community facility. Whether you're planning agriculture, landscaping, or construction, knowing how perimeter translates into usable area is invaluable.", "---", "### Conclusion\nFor any square plot, perimeter provides a quick way to find side lengths, enabling easy calculation of area. In this case, a square plot with a perimeter of 64 meters has a total area of 256 square meters. This kind of geometric understanding empowers better planning and efficient use of land.", "---", "Key Takeaways:\n- Perimeter = 64 meters → side length = 16 meters\n- Area of square = side × side = ( 16^2 = 256 ) m²\n- Useful for real estate, farming, construction, and land development", "If you’re measuring or planning a square plot, always start with perimeter to unlock the full potential area—simple math yields powerful results!"]
