A rectangular garden has a length that is 3 times its width. If the perimeter of the garden is 64 meters, what is its area?
["Title: How to Calculate the Area of a Rectangular Garden with Perimeter & Dimensions", "If you’re designing a garden and know that the length is 3 times the width, and the perimeter is 64 meters, you’re in the perfect place to learn how to quickly determine the garden’s area using simple geometry. Whether you're a home gardener, landscaper, or math enthusiast, understanding this problem helps solve real-world space-related calculations.", "In this article, we’ll break down how to find the dimensions and calculate the area of a rectangular garden based on the given perimeter and length-to-width ratio.", "---", "### Understanding the Problem", "You’re given:\n- The length (L) is 3 times the width (W) → ( L = 3W )\n- The perimeter (P) of the rectangle is 64 meters", "Since a rectangle has:\n[\nP = 2 \ imes (L + W)\n]\nWe can substitute ( L = 3W ) into the perimeter formula to find the width, then the length.", "---", "### Step-by-Step Calculation", "Step 1: Write the perimeter formula with expressions for L and W", "[\n64 = 2(L + W) = 2(3W + W) = 2(4W) = 8W\n]", "Step 2: Solve for the width", "[\nW = \frac{64}{8} = 8 \ ext{ meters}\n]", "Step 3: Find the length", "[\nL = 3W = 3 \ imes 8 = 24 \ ext{ meters}\n]", "---", "### Step 4: Calculate the Area", "The area ( A ) of a rectangle is:\n[\nA = L \ imes W = 24 \ imes 8 = 192 \ ext{ square meters}\n]", "---", "### Summary of Dimensions", "| Dimension | Value (meters) |\n|-----------|----------------|\n| Width | 8 |\n| Length | 24 |\n| Perimeter | 64 |\n| Area | 192 |", "---", "### Why This Matters", "Knowing how to relate dimensions with perimeter and area helps in:\n- Planning garden layouts efficiently\n- Estimating soil, mulch, and plant needs\n- Deciding fencing requirements\n- Optimizing space usage for maximum growth and aesthetics", "---", "### Final Answer", "A rectangular garden with a length 3 times its width and a perimeter of 64 meters has an area of 192 square meters.", "If you're working on a similar landscaping project, now you know exactly how to calculate key measurements with confidence!", "---", "Keywords for SEO:\nrectangular garden area, perimeter to area calculator, rectangular garden dimensions, length three times width, garden layout math, how to find garden area, home gardening calculations, rectangle perimeter and area formula", "---", "Start your garden planning today—accurate measurements lead to beautiful, efficient outdoor spaces!"]
