A rectangle has a length that is 4 times its width. If the perimeter is 50 meters, what is the area of the rectangle?

Fri, 17 Apr 2026 09:01:35 +0000

**Why Everyone’s Talking About A Rectangle with Length Four Times Its Width and a 50-Meter Perimeter**
In a world increasingly focused on precision, efficiency, and visual simplicity, a mathematical shape with a simple yet powerful ratio is gaining quiet traction—especially in design, architecture, and home planning circles across the U.S. The question “A rectangle has a length that is 4 times its width. If the perimeter is 50 meters, what is the area?” might sound niche, but it reflects a growing interest in solving real-world spatial problems with clear, calculated logic. As users seek smarter ways to unlock square footage and optimize living or working spaces, understanding this classic geometric relationship offers practical value. It models efficiency in structure, efficiency in cost, and efficiency in design—key factors in today’s value-driven decisions. **Why A Rectangle with Length Four Times Its Width Is Trending in Smart Spaces**
This proportion—where length equals four times width—is more than a textbook example. It mirrors real-life applications: maximizing usable interior space within set fencing or wall lengths, common in backyard structures, garage layouts, and urban apartments aiming to balance form and function. Recent trends in compact home design and smart outdoor areas show users are drawn to geometric clarity. The 50-meter perimeter challenge, popular in educational content and mobile searches, drives engagement by combining relatable measurement (meters) with a measurable, satisfying outcome—the area. It’s a digital-age puzzle users want solved, reinforcing trust in logical reasoning over guesswork. **How A Rectangle with Length Four Times Its Width Is Calculated—Step by Step, Simply**
To find the area, start by letting the width be *w*, so the length becomes *4w*. The perimeter of a rectangle is calculated as *P = 2(length + width)*. Substituting values:
50 = 2(4w + w) → 50 = 2(5w) → 50 = 10w → w = 5 meters.
Then the length is 4 × 5 = 20 meters.
Area = length × width = 20 × 5 = 100 square meters.
This straightforward method avoids confusion, making it ideal for learners and professionals alike—mobile users especially benefit from clear, step-by-step clarity. **Common Questions Answered About A Rectangle with Length Four Times Its Width**
*How is the length derived from width in this rectangle?*
By multiplying width by four—since the length is precisely 4x the width.
*Why use perimeter in calculating area in this case