A rectangular plot of land has a length that is twice its width. If the perimeter of the plot is 240 meters, what is the area of the plot?
["Title: How to Calculate the Area of a Rectangular Plot: Solving a Real-World Geometry Problem", "When planning land development, understanding the relationship between a rectangular plot’s dimensions and its area is essential. In this article, we break down a practical example: a rectangular plot where the length is twice the width, and the perimeter is 240 meters. We’ll walk through how to calculate the area step by step—perfect for students, property developers, and real estate enthusiasts.", "---", "### Understanding the Problem", "We’re given that:\n- The length (L) of a rectangular plot is twice its width (W):\n [\n L = 2W\n ]\n- The perimeter (P) of the plot is 240 meters.\n- We need to find the area (A) of the plot, given by:\n [\n A = L \ imes W\n ]", "---", "### Step 1: Use the Perimeter Formula for a Rectangle", "The perimeter of a rectangle is calculated with the formula:\n[\nP = 2(L + W)\n]\nSubstitute the known values:\n[\n240 = 2(2W + W)\n]\nSimplify inside the parentheses:\n[\n240 = 2(3W)\n]\n[\n240 = 6W\n]\nSolve for W:\n[\nW = \frac{240}{6} = 40 \ ext{ meters}\n]", "---", "### Step 2: Find the Length Using the Relationship (L = 2W)", "Since (W = 40) meters, then:\n[\nL = 2 \ imes 40 = 80 \ ext{ meters}\n]", "---", "### Step 3: Calculate the Area", "Now use the area formula:\n[\nA = L \ imes W = 80 \ imes 40 = 3,200 \ ext{ square meters}\n]", "---", "### Bonus: Key Takeaways", "- Knowing the relationship between length and width allows simplification of formulas.\n- Perimeter provides a direct way to find dimensions in linear measurements.\n- Area calculation turns abstract numbers into real-world size insights—crucial for construction, agriculture, or landscaping.", "---", "### Final Answer", "The area of the rectangular plot is 3,200 square meters.", "---", "Understanding geometry in real-life applications helps optimize space usage, support smart development, and make informed decisions. Whether you're buying land, designing a garden, or starting a business project, mastering these formulas puts you ahead.", "Keywords: rectangular plot area, perimeter and area, geometry problem solution, land perimeters, width and length relationship, real-world geometry, plot dimensions, area formulas."]
