A square garden has a perimeter of 64 meters. What is the area of the garden?
["A Square Garden with a Perimeter of 64 Meters: How to Calculate Its Area", "If you’ve ever strolled through a neatly designed garden or dreamed of creating one, understanding the geometry behind a square garden can help bring your vision to life. One popular question often arises: What is the area of a square garden with a perimeter of 64 meters? Whether you're measuring land, planning a landscaping project, or simply curious about basic geometry, this article explains how to find the area of a square garden given its perimeter.", "### What is a Square Garden?", "A square garden is a plot of land shaped exactly like a square — all four sides are equal in length, and all internal angles measure 90 degrees. Because of its symmetry, a square garden simplifies calculations like perimeter and area, making it ideal for gardeners, architects, and DIY enthusiasts alike.", "### Step 1: Find the Length of One Side", "The perimeter of a square is the total distance around its outer edges. For a square, the perimeter formula is:", "[\n\ ext{Perimeter} = 4 \ imes \ ext{side length}\n]", "We’re told the perimeter is 64 meters. Let ( s ) represent the side length. Then:", "[\n4s = 64\n]", "To find ( s ), divide both sides by 4:", "[\ns = \frac{64}{4} = 16 \ ext{ meters}\n]", "So, each side of the square garden measures 16 meters.", "### Step 2: Calculate the Area", "The area of a square is calculated using the formula:", "[\n\ ext{Area} = \ ext{side length}^2\n]", "Since each side is 16 meters:", "[\n\ ext{Area} = 16^2 = 256 \ ext{ square meters}\n]", "Thus, the area of the square garden is 256 m² — a spacious garden perfect for planting flowers, vegetables, or creating inviting outdoor spaces.", "### Why Knowing This Matters", "Understanding the relationship between perimeter and area helps you optimize your garden space efficiently. A square layout maximizes usable ground area while simplifying design and maintenance. Whether you're planning irrigation systems, adding pathways, or choosing vegetation, knowing these measurements ensures your garden is both beautiful and functional.", "---", "Summary:", "- A square garden with a 64-meter perimeter has sides of 16 meters.\n- The area is calculated as ( 16 \ imes 16 = 256 \ ext{ m²} ).\n- Using a square shape streamlines layout and area planning for landscaping.", "Dreaming of a square garden? With just 64 meters of perimeter, you’re looking at a neat 256 m² of green space — versatile, manageable, and ready for your horticultural creativity!"]
