A rectangular garden has a length that is 3 meters longer than twice its width. If the perimeter of the garden is 54 meters, what is the width of the garden?
["A rectangular garden has a length that is 3 meters longer than twice its width. If the perimeter of the garden is 54 meters, what is the width of the garden?", "Curious gardeners across the United States are increasingly tuning into how geometry and everyday home projects connect — especially when calculating space for a new rectangular garden. This particular question — a classic for those interested in DIY landscaping — centers on a garden where the length stretches 3 meters beyond twice its width, with a total perimeter of 54 meters. Many people tackling this problem aren’t just curious — they’re seeking precise, reliable answers that fit real-life yard planning. Understanding the width unlocks smarter decisions about materials, layout, and even weekend budgeting. So let’s break down exactly how to find that key measurement, why this equation matters, and what insights it offers beyond the garden fence.", "---", "### Why A rectangular garden has a length that is 3 meters longer than twice its width. If the perimeter of the garden is 54 meters, what is the width of the garden?", "This scenario is rooted in practical geometry with real-world relevance. A rectangular garden shaped with a length defined relative to its width reflects how many users think critically about space allocation — especially in suburban areas where yards matter for outdoor living. The addition of “3 meters longer than twice the width” introduces a precise formula, grounded in algebra, which users increasingly seek to understand through hands-on math. As global conversations around home gardening evolve — driven by trends like rising interest in sustainable living and personal outdoor spaces — solving equations like this becomes more than academic. It’s useful, tangible, and directly applicable.", "---", "### How A rectangular garden has a length that is 3 meters longer than twice its width. If the perimeter of the garden is 54 meters, what is the width of the garden?", "Start with two key pieces: the formula for perimeter and the relationship between length and width.", "The perimeter $ P $ of a rectangle is calculated as \n$$ P = 2 \ imes (\ ext{length} + \ ext{width}) $$ \nWe’re told $ P = 54 $, so: \n$$ 54 = 2 \ imes (L + W) $$ \nDividing both sides by 2 simplifies to: \n$$ 27 = L + W $$ \nThat’s our first key equation—length plus width equals 27 meters.", "We’re also told the length $ L $ is 3 meters longer than twice the width $ W $, which translates directly: \n$$ L = 2W + 3 $$", "Now substitute $ L $ into the earlier equation: \n$$ (2W + 3) + W = 27 $$ \nCombine like terms: \n$$ 3W + 3 = 27 $$ \nSubtract 3 from both sides: \n$$ 3W = 24 $$ \nThen divide by 3: \n$$ W = 8 $$", "So, the width of the garden is 8 meters — a clear, factual solution derived from intelligent reasoning. This method mirrors real-life problem solving homeowners often practice when sizing outdoor projects.", "---", "### Common Questions People Have About A rectangular garden has a length that is 3 meters longer than twice its width. If the perimeter of the"]
