A rectangle has a perimeter of 48 cm and a length that is twice its width. What are the dimensions of the rectangle?

Fri, 01 May 2026 19:10:34 +0000

**Why a Rectangle with a 48 cm Perimeter and Length Twice Its Width Captures Attention Online**
In a world shaped by quick learning, smart problem-solving, and growing interest in design and space efficiency, a simple geometric challenge is sparking curiosity: A rectangle has a perimeter of 48 cm and a length that is twice its width. What are the dimensions? This question reflects more than math—it reflects a mindset. People are drawn to clean, balanced shapes that mirror real-world applications, from home décor planning to packaging and product design. Understanding how to derive the exact measurements turns abstract geometry into a practical, relatable problem. The row of questions around this rectangle signals rising interest in both practical math and spatial reasoning—especially among mobile users searching for clear, trusted answers. **Why This Rectangle Equation Is Gaining Momentum in the US Market**
Across the United States, curiosity about geometry and real-world math is fueled by lifestyle trends, interior design fads, and DIY culture. Home improvement, furniture selection, and graphic design all rely on proportional sizing—making this problem both educational and applicable. The combination of a fixed perimeter and proportional length taps into a rhythm Founders and creators notice: users seeking answers that are simple, visually intuitive, and actionable. Social search behavior shows growing intent around spatial literacy, particularly in educational and creative niches. With the local emphasis on efficiency and smart planning, this rectangle challenge resonates beyond classrooms—appealing to professionals, educators, and designers seeking reliable mental models. **How to Calculate the Dimensions: A Clear, Step-by-Step Breakdown**
At its core, the problem is grounded in a straightforward formula: perimeter equals two times the length plus two times the width. Given that the length is twice the width, we can substitute variables to solve confidently. Let width = *w*; then length = *2w*. Plugging in, we get:
Perimeter = 2(length + width) → 48 = 2(2w + w) → 48 = 2(3w) → 48 = 6w.
Solving for *w* gives *w* = 8 cm. Since length is *2w*, it measures 16 cm. This elegant solution proves how algebra brings tangible order to spatial puzzles—ideal for problems rooted in real-world precision. **Common Questions About Perimeter, Length, and Width in This Rectangle**
Readers often clarify details when unpacking the rectangle’s math.
- *Is the rectangle truly rectangular?* Yes—only rectangles have equal opposite sides and meet perimeter constraints given proportional length rules.
- *Can there be multiple solutions?* No—constraints fix dimensions uniquely.
- *Does this apply to real furniture or rooms?* Absolutely—this scale helps estimate space use, packaging, or design layouts.
- *What if the perimeter were different?* Small changes affect proportions but keep the method consistent.
These common queries shape the conversation, building clarity and trust in the explanation.