Secrets of the Cigarette Boat Revealed—Eyes Wide Open1. **Question**: A rectangle has a length that is twice its width. If the perimeter of the rectangle is 72 meters, what is the area of the rectangle?

Sun, 03 May 2026 18:21:05 +0000

["Secrets of the Cigarette Boat Revealed—Eyes Wide Open: Solving the Rectangle Perimeter Puzzle", "Have you ever come across a puzzling scenario involving a mysterious “cigarette boat,” as described in the intriguing riddle-like question: “A rectangle has a length that is twice its width. If the perimeter of the rectangle is 72 meters, what is the area of the rectangle?” Like uncovering hidden truths behind a seemingly simple riddle, cracking this problem reveals not just numbers—but the logic behind them.", "In this article, we’ll reveal the secrets behind this rectangle mystery step by step—turning a colorful metaphor like “cigarette boat” into a concrete math solution. Here’s how to find the area when a rectangle’s length is twice its width and its perimeter is 72 meters.", "---", "### The Foundation: Understanding the Rectangle’s Structure", "We begin with a key clue: The rectangle’s length \( L \) is twice its width \( W \). This gives us our first equation: \[ L = 2W \]", "The perimeter \( P \) of any rectangle is calculated using the formula: \[ P = 2L + 2W \] Given that \( P = 72 \) meters, substitute into the formula: \[ 2L + 2W = 72 \]", "Now, substitute \( L = 2W \) into the perimeter equation: \[ 2(2W) + 2W = 72 \]", "Simplify: \[ 4W + 2W = 72 \] \[ 6W = 72 \]", "Solve for \( W \): \[ W = \frac{72}{6} = 12 \ ext{ meters} \]", "Now find the length: \[ L = 2W = 2 \ imes 12 = 24 \ ext{ meters} \]", "---", "### The Final Step: Calculating the Area", "With width \( W = 12 \) meters and length \( L = 24 \) meters, the area \( A \) is: \[ A = L \ imes W = 24 \ imes 12 = 288 \ ext{ square meters} \]", "---", "### Summary: The Secrets Revealed", "- Width: 12 m - Length: 24 m (twice the width) - Perimeter: 72 m (consistent with \( 2(24 + 12) = 72 \)) - Area: 288 m²", "Just as with the metaphorical “secrets of the cigarette boat,” this mathematical journey uncovers clarity from confusion—proving that even deceptively simple shapes hold satisfying truths when approached logically.", "---", "Key Takeaway: A rectangle with a length twice its width, and a total perimeter of 72 meters, always has an area of 288 square meters. Sharpen your problem-solving skills—whether decoding riddles or real-world shapes.", "---", "Stay tuned for more “Secrets of Everyday Math”—where every equation tells a story. ✨"]