A rectangles length is 3 more than twice its width. If the perimeter is 54, find the dimensions of the rectangle.

Fri, 01 May 2026 04:57:05 +0000

**Why Math Meets Real-Life Design: The Rectangle Equation with Perimeter 54**
Curiosity builds around everyday shapes—how math shapes the spaces we live, work, and imagine. A rectangles length is 3 more than twice its width. If the perimeter is 54, finding the dimensions feels like solving a quiet puzzle. With growing interest in design thinking and practical geometry, this problem is quietly trending online, especially among architects, students, and trenders navigating spatial reasoning in their daily lives. Solving for size isn’t just arithmetic—it’s how we understand form and function. **Why This Rectangle Problem Is Resonating in the US**
This question integrates algebraic reasoning with tangible real-world applications—something increasingly relevant as professionals, educators, and curious minds explore design efficiency, construction planning, and space optimization. The use of proportional relationships and perimeter formulas reflects a broader trend: users are drawn to clear, visual problem-solving that connects abstract concepts to practical outcomes. In mobile-first content consumption, such puzzles offer focused mental engagement, making them well-suited for Discover feeds where clarity and relevance drive attention. **Solving the Dimensions Step by Step**
Let’s unpack how to find the rectangle’s length and width using the given condition:
Let width = \( w \). Then length (\( l \)) = \( 2w + 3 \).
The perimeter of a rectangle is \( P = 2l + 2w \). With \( P = 54 \):
\( 2(2w + 3) + 2w = 54 \)
Simplify: \( 4w + 6 + 2w = 54 \)
Combine like terms: \( 6w + 6 = 54 \)
Subtract 6: \( 6w = 48 \)
Divide: \( w = 8 \)
So, width = 8, length = \( 2(8) + 3 = 19 \).
The rectangle is 8 units wide and 19 units long—ideal for balancing dimension and use in 다양한 contexts. **Common Questions About the Rectangle Perimeter Challenge**
**H3: How is this calculation used beyond math class?**
This exercise supports spatial analysis in design, architecture, and project planning. Understanding perimeter relationships helps professionals optimize materials and space efficiently—key for many US-based industries, from real estate to interior design.