المحيط = 2 (الطول + العرض) = 2 (2x + x) = 6x = 60.

["Understanding the Erie: Solving the Simple Longitudinal Equation (2 × Length + Width = 60)", "When solving basic geometric problems involving the perimeter or area of shapes, one common equation arises: the relationship between length, width, and total perimeter dimensions. In this article, we’ll explore a key algebraic example often simplified for educational purposes: the equation 2(length + width) = 60, which represents the perimeter of a rectangle when set equal to 60 meters or units.", "### The Equation Explained", "The equation 2 × (length + width) = 60 comes from the formula for the perimeter of a rectangle:\n[\n\ ext{Perimeter} = 2 \ imes (\ ext{length} + \ ext{width})\n]", "In this simplified version, the problem is expressed as:\n[\n2 \ imes (2x + x) = 60\n]\nThis represents:\n- Length = ( 2x )\n- Width = ( x )\n- So, ( 2 \ imes (length + width) = 2 \ imes (2x + x) = 6x = 60 )", "### Step-by-Step Solution", "1. Set up the equation:\n[\n2(2x + x) = 60\n]\n[\n6x = 60\n]", "2. Solve for ( x ):\nDivide both sides by 6:\n[\nx = \frac{60}{6} = 10\n]", "3. Find the dimensions:\n- Length = ( 2x = 2 \ imes 10 = 20 )\n- Width = ( x = 10 )\n- Perimeter = ( 2(20 + 10) = 60 ), which matches the original problem.", "### Why This Equation Matters", "Understanding how to break down perimeter equations like 2(length + width) = 60 helps students grasp fundamental concepts in geometry and algebra. This foundational skill is essential for tackling more complex problems involving area, optimization, and real-world applications such as fencing a field, designing a room, or planning land use.", "### Practical Applications", "- Garden Design: If you’re planning a rectangular garden with a fixed perimeter of 60 meters, solving ( 2(l + w) = 60 ) lets you determine optimal dimensions.\n- Construction: Contractors can calculate and cut materials efficiently by understanding the relationship between length, width, and perimeter.\n- Mathematical Education: This type of equation strengthens algebraic reasoning and problem-solving skills early in education.", "### Summary", "The equation 2 × (length + width) = 60 simplifies a real-world perimeter problem into an easy algebraic equation. By defining length and width in terms of a variable like ( x ), solving step-by-step gives clear insights into the dimensions. Whether teaching basic geometry or enhancing practical skills, mastering equations like 6x = 60 is vital for clarity and confidence in mathematical problem-solving.", "Keywords:\nperiimeter calculation, rectangle dimensions, algebraic equation, geometry practice, solving 2(x + w) = 60, school math problem, algebra basics, fence perimeter, educational math example."]