A rectangle has a length that is 3 times its width. If the width is 4 meters, find the perimeter of the rectangle.
["Understanding Rectangle Dimensions and Perimeter: A Step-by-Step Guide", "When studying geometry, one of the most common and practical shape problems involves rectangles—simple yet foundational figures used in architecture, design, and everyday measurements. Today, we’ll explore a classic example: a rectangle where the length is three times the width. We’ll walk through how to determine the perimeter when the width is given, helping students and enthusiasts strengthen their math skills.", "### How to Find the Perimeter of a Rectangle When Width Is Given", "A rectangle has two key measurements: length (L) and width (W). The perimeter of any rectangle is calculated using the formula:", "[\n\ ext{Perimeter} = 2 \ imes (L + W)\n]", "But what if you only know the width? The key is to first use the relationship between length and width.", "### Given:\n- Width (W) = 4 meters\n- Length (L) = 3 times the width = (3 \ imes 4 = 12) meters", "### Step-by-Step Calculation:", "1. Substitute the width and length into the perimeter formula:\n[\n\ ext{Perimeter} = 2 \ imes (12 + 4)\n]", "2. Add the length and width:\n[\n12 + 4 = 16\n]", "3. Multiply by 2:\n[\n2 \ imes 16 = 32 \ ext{ meters}\n]", "### Final Result\nThe perimeter of the rectangle is 32 meters.", "---", "### Why This Matters\nUnderstanding how to work with simple geometric relationships—like recognizing that length equals 3 times width—lets you solve real-world problems involving fencing, flooring, or material estimation. Whether you're designing a garden bed, laying tile, or sketching a blueprint, mastering perimeter calculations saves time and ensures precision.", "### Try It Yourself!\nIf you pick a width—say 5 meters—and remember length = 3 × width, calculate the perimeter:\nWidth = 5 m, Length = 15 m\nPerimeter = 2 × (5 + 15) = 40 meters.", "---", "Summary:\n- Rectangle perimeter = 2 × (Length + Width)\n- When width = 4 m, length = 12 m\n- Perimeter = 32 meters", "Keep practicing these basics, and geometry will become second nature! Geometry made simple with every rectangle!"]
