A rectangular garden has a length that is twice its width. If the perimeter is 180 meters, what is the area of the garden?
["Title: How to Calculate the Area of a Rectangular Garden with a Fixed Perimeter: A Real-World Example", "Meta Description: Discover how to find the area of a rectangular garden using perimeter and length-width relationships. Real example: a garden with double-width and 180-meter perimeter.", "---", "# Calculating the Area of a Rectangular Garden When Length Equals Twice the Width", "If you’ve ever faced a garden design problem like this, you’re not alone. Understanding how to use perimeter measurements to determine dimensions and area is essential—for gardeners, landscapers, and DIY enthusiasts alike. In this article, we’ll solve a practical example: a rectangular garden where the length is twice the width, and the perimeter is 180 meters. We’ll walk through the math step-by-step and reveal how to calculate the garden’s area.", "## Setting Up the Problem", "We’re told:", "- The length (L) is twice the width (W) →\n ( L = 2W )\n- The perimeter (P) is 180 meters →\n ( P = 180 , \ ext{meters} )", "For a rectangle, the formula for perimeter is:\n[ P = 2L + 2W ]", "## Substitute to Solve for Width", "Substitute ( L = 2W ) into the perimeter equation:", "[\n2(2W) + 2W = 180\n]", "Simplify:", "[\n4W + 2W = 180\n]", "[\n6W = 180\n]", "Divide both sides by 6:", "[\nW = 30\n]", "Now find the length:", "[\nL = 2W = 2 \ imes 30 = 60\n]", "## Compute the Area", "The area ( A ) of a rectangle is given by:", "[\nA = L \ imes W\n]", "Substitute the values:", "[\nA = 60 \ imes 30 = 1800\n]", "## Final Result", "The total area of the rectangular garden is 1,800 square meters.", "## Why This Matters for Garden Design", "Understanding how dimensions relate mathematically helps optimize space—whether growing vegetables, planting flowers, or planning hardscaping. A length twice the width gives a sloped, elongated aesthetic often favored in garden design. And knowing how to calculate area from simple perimeter and ratio clues empowers homeowners and professionals alike.", "---", "### Summary", "- Rectangle perimeter: ( P = 2L + 2W )\n- Given ( L = 2W ), substitute to solve for ( W = 30 , \ ext{m} )\n- Then, ( L = 60 , \ ext{m} )\n- Area ( A = L \ imes W = 1800 , \ ext{m}^2 )", "Crafting beautiful, functional gardens starts with solid math—and this example proves it’s simpler than it seems!", "---", "Keywords: rectangular garden area, how to calculate garden area, optimal garden shape, rectangle perimeter formula, garden design math, length twice width, 180-meter perimeter garden", "Tags: garden dimensions, perimeter to area, landscape design, DIY garden planning, math in gardening", "---", "Whether you’re measuring your backyard or designing a professional landscape, remember: a 60-meter-long and 30-meter-wide garden unfolds into a generous 1,800 sq.m of growing space."]
