A rectangular garden has a length that is 4 meters more than twice its width. If the perimeter of the garden is 68 meters, what are the dimensions of the garden?
["How to Find the Dimensions of a Rectangular Garden Based on Perimeter and Length-Width Relationship", "When planning a garden space, understanding its dimensions based on key measurements like perimeter and length relative to width is essential for effective design and optimization. A common scenario involves a rectangular garden where the length exceeds twice the width — a formula that combines geometry with practical planning.", "In this article, we’ll explore how to determine the exact dimensions of such a garden using algebraic expressions, given that the perimeter is 68 meters and the length is defined as 4 meters more than twice the width.", "---", "### Understanding the Problem", "We are told:", "- The length (L) is 4 meters more than twice the width (W):\n [\n L = 2W + 4\n ]", "- The perimeter (P) of the rectangular garden is:\n [\n P = 68\ \ ext{meters}\n ]", "The formula for the perimeter of a rectangle is:\n[\nP = 2(L + W)\n]", "Substituting the known perimeter:\n[\n2(L + W) = 68\n]", "---", "### Step-by-Step Solution", "1. Divide both sides by 2 to simplify:\n [\n L + W = 34\n ]", "2. Substitute the expression for L from the problem:\n [\n (2W + 4) + W = 34\n ]", "3. Combine like terms:\n [\n 3W + 4 = 34\n ]", "4. Solve for W:\n [\n 3W = 30 \quad \Rightarrow \quad W = 10\n ]", "5. Find L using the earlier equation:\n [\n L = 2(10) + 4 = 20 + 4 = 24\n ]", "---", "### Final Dimensions", "- Width = 10 meters\n- Length = 24 meters", "---", "### Why This Matters in Garden Design", "Understanding how to translate real-world relationships — like “length is 4 meters more than twice the width” — into mathematical equations helps gardeners accurately visualize and lay out their plots. Knowing the exact measurements allows for better planning of planting areas, paths, fencing, and irrigation.", "---", "### Summary", "Given a rectangular garden where:\n- Length = ( 2W + 4 )\n- Perimeter = 68 meters", "We solved the equation to find:\n- Width = 10 meters\n- Length = 24 meters", "This clear, algebraic approach empowers homeowners and landscape designers to build functional and aesthetically pleasing garden spaces with precision.", "---", "Keywords for SEO: rectangular garden dimensions, how to find garden size, perimeter and length relationship, garden planning calculation, solve rectangular garden length and width, garden dimensions problem, algebraic garden design", "Meta Description:\nDiscover how to calculate the exact dimensions of a rectangular garden when the perimeter is 68 meters and the length exceeds twice the width by 4 meters. Learn step-by-step algebra and garden planning tips.", "---", "By mastering these simple yet effective formulas, you’ll turn abstract garden ideas into precise, actionable plans. Whether you're digging the soil or designing your dream outdoor retreat, knowing the math behind your garden ensures success."]
