A rectangular garden has a length that is twice its width. If the perimeter of the garden is 60 meters, what is the area of the garden?
["Title: Calculate the Area of a Rectangular Garden with Given Dimensions", "When designing an outdoor space like a rectangular garden, understanding its dimensions and area is essential for planning and maintenance. In this article, we’ll explore a simple yet effective mathematical problem: a rectangular garden where the length is twice the width, and the perimeter is 60 meters. We’ll walk through the steps to find the garden’s area, an essential factor for planting and landscaping.", "---", "### Understanding the Problem", "We know the following:", "- The length (L) is twice the width (W) →\n ( L = 2W )", "- The perimeter (P) of the rectangle is 60 meters →\n ( P = 2L + 2W = 60 )", "Our goal is to find the area (A) of the garden, given by:\n( A = L \ imes W )", "---", "### Step-by-Step Solution", "#### Step 1: Substitute the length in terms of width into the perimeter formula\nStart with the perimeter equation:\n[\n2L + 2W = 60\n]", "Substitute ( L = 2W ):\n[\n2(2W) + 2W = 60\n]\n[\n4W + 2W = 60\n]\n[\n6W = 60\n]", "#### Step 2: Solve for the width\n[\nW = \frac{60}{6} = 10 \ ext{ meters}\n]", "#### Step 3: Find the length\nSince ( L = 2W ):\n[\nL = 2 \ imes 10 = 20 \ ext{ meters}\n]", "#### Step 4: Calculate the area\n[\nA = L \ imes W = 20 \ imes 10 = 200 \ ext{ square meters}\n]", "---", "### Final Answer", "The area of the rectangular garden is 200 square meters.", "---", "### Why This Area Matters", "Knowing the area helps homeowners and gardeners:", "- Plan efficient planting layouts\n- Estimate soil and material needs\n- Maintain uniform watering and fertilizing across the space", "By solving basic geometry using algebraic expressions—like when the length is twice the width—landscaping becomes both precise and practical.", "---", "### Bonus: Quick Summary Formula", "For any rectangular garden where length ( L = 2W ) and perimeter ( P = 60,\ ext{m} ):", "- Width ( W = 10,\ ext{m} )\n- Length ( L = 20,\ ext{m} )\n- Area ( A = 200,\ ext{m}^2 )", "This simple calculation ensures your garden space is optimized from day one!", "---", "Keywords: rectangular garden area, perimeter and area, garden dimensions, length twice width, garden perimeter 60m, how to calculate garden area", "Meta Description: Learn how to find the area of a rectangular garden when the length is twice the width and the perimeter is 60 meters—step-by-step solution with clear math and practical landscaping applications."]
