A rectangular garden has a length that is twice its width. If the perimeter is 60 meters, what is the area of the garden?
["How to Calculate the Area of a Rectangular Garden with Given Dimensions and Perimeter", "Understanding the dimensions and perimeter of a rectangular garden is essential for effective gardening, landscaping, and home improvement projects. In this article, we explore a common practical 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—helping you estimate how much space you have for planting, general landscaping, or outdoor design.", "### Understanding the Problem", "We are given:\n- The garden is rectangular.\n- The length (L) is twice the width (W):\n $ L = 2W $\n- The perimeter (P) is 60 meters.", "Our goal is to determine the area of the garden, calculated as:\n$$\n\ ext{Area} = L \ imes W\n$$", "### Step-by-Step Calculation", "1. Use the Perimeter Formula for a Rectangle\nThe perimeter of a rectangle is given by:\n$$\nP = 2(L + W)\n$$\nSubstituting the given perimeter:\n$$\n60 = 2(L + W)\n$$\nDivide both sides by 2:\n$$\n30 = L + W\n$$", "2. Substitute the Length in Terms of Width\nSince $ L = 2W $, plug that into the equation:\n$$\n30 = 2W + W\n\Rightarrow 30 = 3W\n$$", "3. Solve for Width\n$$\nW = \frac{30}{3} = 10 \ ext{ meters}\n$$", "4. Find the Length\nUsing $ L = 2W $:\n$$\nL = 2 \ imes 10 = 20 \ ext{ meters}\n$$", "5. Calculate the Area\n$$\n\ ext{Area} = L \ imes W = 20 \ imes 10 = 200 \ ext{ square meters}\n$$", "### Conclusion", "A rectangular garden with a perimeter of 60 meters, where the length is twice the width, measures 20 meters by 10 meters. This yields an area of 200 square meters—a spacious plot perfect for vegetables, flowers, lawns, or garden features.", "Whether you’re designing your own backyard oasis or calculating space for professional landscaping, understanding perimeter and area relationships helps make informed decisions. Use this formula whenever you’re working with rectangles to maximize your garden’s potential!", "Keywords: rectangular garden area, rectangular garden with length twice width, perimeter and area calculation, garden design math, driveway to garden area, outdoor space planning", "Meta Description:\nLearn how to find the area of a rectangular garden when its length is twice its width and its perimeter is 60 meters. Step-by-step guide with calculation and practical garden planning tips."]
