#### 69.12**1.** A rectangle has a length that is 3 times its width. If the perimeter of the rectangle is 64 units, what is the area of the rectangle?
["# How to Calculate the Area of a Rectangle When Length Is 3 Times the Width — Solving #### 69.121", "When faced with a classic geometry problem like determining the area of a rectangle given a proportional relationship between its length and width along with its perimeter, clear and step-by-step reasoning is key — both for understanding and for SEO optimization.", "In this article, we’ll break down how to solve the problem #### 69.121: A rectangle has a length that is 3 times its width. If the perimeter is 64 units, what is the area?", "---", "## Understanding the Problem", "We know two important facts:", "- The length (L) of the rectangle is 3 times its width (W) → $ L = 3W $\n- The perimeter (P) is 64 units → $ P = 64 $", "Using the standard perimeter formula for a rectangle:", "$$\nP = 2L + 2W\n$$", "---", "## Step-by-Step Solution", "Step 1: Substitute the length in the perimeter formula", "Since $ L = 3W $, replace $ L $ in the perimeter equation:", "$$\n64 = 2(3W) + 2W\n$$", "Step 2: Simplify the equation", "$$\n64 = 6W + 2W\n\Rightarrow 64 = 8W\n$$", "Step 3: Solve for width (W)", "$$\nW = \frac{64}{8} = 8\n$$", "Step 4: Find the length (L)", "Since $ L = 3W $:", "$$\nL = 3 \ imes 8 = 24\n$$", "Step 5: Calculate the area", "The area (A) of a rectangle is:", "$$\nA = L \ imes W = 24 \ imes 8 = 192\n$$", "---", "## Final Answer", "The area of the rectangle is 192 square units.", "---", "## Why This Problem Matters (and Why It Ranks Well in SEO)", "This problem is a standard example used in geometry instruction, making it highly relevant for educators, students, and anyone studying algebra or basic geometry. Key SEO-friendly elements include:", "- A clear, question-based headline optimized for search intent\n- Step-by-step explanation that answers natural user queries\n- Use of exact keywords like “rectangle area,” “perimeter formula,” and “length is 3 times width”\n- Precise numerical results optimized for local educational search\n- Relevance to common STEM education topics and problem-solving frameworks", "By explaining the problem methodically and matching search intent with technical accuracy, this article improves visibility on search engines while helping learners master core math concepts.", "---", "### Summary", "Based on $ L = 3W $ and $ P = 64 $, we found:\n- Width: 8 units\n- Length: 24 units\n- Area: 192 square units", "This straightforward geometry problem remains a go-to example for teaching proportional rectangles and perimeter-area relationships — and perfectly captures the essence of #### 69.121 in real-world learning scenarios.", "---", "Keywords: rectangle area, perimeter formula, length 3 times width, geometry problem, algebra practice, 64 perimeter rectangle, 192 square units area\nMeta Title: How to Find Rectangle Area When Length Is 3 Width: Solve #### 69.121 Step-by-Step\nMeta Description:** Solve a rectangle area problem with length 3 times width and perimeter 64 units. Step-by-step solution with formulas and calculations.", "Optimized for student success and search visibility."]
