A rectangular garden has a length that is 4 meters more than twice its width. If the perimeter is 68 meters, what is the area of the garden in square meters?
["Why a Rectangular Garden’s Dimensions Spark Curiosity — and How to Find the Answer", "If you’ve been scrolling through trending garden tips or checking local landscaping trends, chances are you’ve come across questions like: A rectangular garden has a length that is 4 meters more than twice its width. If the perimeter is 68 meters, what is the area in square meters? This kind of problem blends practical geometry with everyday real-world planning — and it’s more relevant than you might think. As home improvement and outdoor living gain momentum in U.S. households, understanding how space planning shapes efficiency and beauty is key to smart decision-making. More people are exploring DIY gardening, property enhancements, and sustainable outdoor design — turning what seems like a simple math question into a gateway to informed choices for both small balconies and sprawling yards.", "Why This Garden Configuration Is Trending in U.S. Spaces", "A rectangular shape isn’t just convenient — it’s a smart choice for maximizing usable space while maintaining structure. The mathematical relationship described — length equal to 4 meters more than twice the width — reflects real-life ranch-style designs popular in modern American homes. With a fixed perimeter, this formula helps homeowners balance aesthetics and functionality, especially in tight urban or suburban yards where smart planning saves money and improves practicality. The growing interest in outdoor living rooms, edible gardens, and green spaces fuels demand for precise measurements. Understanding how to calculate area from these parameters not only satisfies curiosity — it empowers people to visualize real estate value, optimize irrigation, and choose the right plants or structures.", "How to Solve: Step-by-Step Guide to Finding the Area", "Let’s walk through the calculations clearly and safely, step by step:", "Let the width of the garden be \( w \) meters. \nThen the length \( l = 2w + 4 \) meters. \nThe perimeter of a rectangle is given by \( P = 2(l + w) \). \nSubstitute the known values: \n\( 68 = 2((2w + 4) + w) \) \nSimplify inside the parentheses: \n\( 68 = 2(3w + 4) \) ⇒ \( 68 = 6w + 8 \) \nSolve for \( w \): \n\( 60 = 6w \) ⇒ \( w = 10 \) \nNow find the length: \n\( l = 2(10) + 4 = 24 \) meters. \nNow calculate the area: \n\( \ ext{Area}"]
