The perimeter of a rectangle is 60 meters, and its length is 5 meters more than twice its width. What is the width?
["# How to Find the Width of a Rectangle When the Perimeter Is 60 Meters and the Length Is 5 Meters More Than Twice the Width", "If you’ve ever wondered how to calculate the width of a rectangle when given its perimeter and a precise relationship between its length and width, you’re in the right place. In this SEO-optimized article, we’ll walk through the problem step by step: The perimeter of a rectangle is 60 meters, and its length is 5 meters more than twice its width. What is the width?", "## Understanding the Problem", "We’re told two key pieces of information:", "1. The perimeter of the rectangle is 60 meters.\n2. The length is 5 meters more than twice the width.", "Our goal is to find the width of the rectangle.", "This type of problem is common in algebra, geometry, and real-world applications such as construction, fencing, or interior design. Knowing how to set up and solve these equations helps students, teachers, and professionals develop strong problem-solving skills.", "## Step 1: Recall the Perimeter Formula", "For any rectangle, the perimeter ( P ) is calculated by:", "[\nP = 2 \ imes (\ ext{length} + \ ext{width})\n]", "Given that ( P = 60 ) meters, we substitute:", "[\n2(l + w) = 60\n]", "Divide both sides by 2:", "[\nl + w = 30\n]", "## Step 2: Express Length in Terms of Width", "We’re also told that the length ( l ) is related to the width ( w ) by:", "[\nl = 2w + 5\n]", "## Step 3: Substitute and Solve the Equation", "Now substitute the expression for ( l ) into the equation from Step 1:", "[\n(2w + 5) + w = 30\n]", "Combine like terms:", "[\n3w + 5 = 30\n]", "Subtract 5 from both sides:", "[\n3w = 25\n]", "Now divide by 3:", "[\nw = \frac{25}{3} \approx 8.33 \ ext{ meters}\n]", "## Step 4: Verify the Solution", "- Compute length:\n[\nl = 2w + 5 = 2\left(\frac{25}{3}\right) + 5 = \frac{50}{3} + \frac{15}{3} = \frac{65}{3} \approx 21.67 \ ext{ meters}\n]", "- Check perimeter:\n[\n2(l + w) = 2\left(\frac{25}{3} + \frac{65}{3}\right) = 2\left(\frac{90}{3}\right) = 2 \ imes 30 = 60 \ ext{ meters}\n]", "✅ Match confirmed!", "## Why This Problem Matters for SEO and Practical Understanding", "This problem is effective for SEO because it combines natural language keywords like:", "- “perimeter of a rectangle”\n- “how to find width from perimeter”\n- “length is 5 more than twice width”\n- “solve rectangle dimensions”\n- “algebraic perimeter problem”", "Users searching for solutions like “rectangle perimeter 60 meters and length definition given” will find this article highly relevant and ranked well in search engines.", "Additionally, mastering such problems strengthens foundational math skills critical for STEM education, design fields, and everyday measurement applications.", "## Final Answer", "The width of the rectangle is (\frac{25}{3}) meters, or approximately 8.33 meters.", "---", "If you want to download a practice worksheet or visual diagram, check related educational resources — combining step-by-step solving with real-world examples ensures deep understanding and strong SEO visibility."]
