A rectangle has a length that is 3 times its width. If the perimeter of the rectangle is 48 meters, find the area of the rectangle.

Sat, 09 May 2026 02:42:32 +0000

**Why Are More People Solving Rectangle Problems Like This in 2025?**
In an age of quick visual learning, questions about geometry, space, and design are climbing search rankings—especially when tied to real-life applications. A rectangle with a length three times its width is a foundational shape studied across education, construction, and digital interfaces. When layered with a perimeter of 48 meters, this sets up a clear, solvable puzzle—ideal for curious minds exploring math, architecture, interior planning, or even app layouts. With mobile users seeking quick, visual explanations, this topic hits a sweet spot: it’s simple enough for instant understanding but rich enough to invite deeper learning. **Why A Rectangle with Length Three Times Width Isn’t Just Classic Geometry**
This ratio—length three times width—is more than an abstract math exercise. It appears frequently in standardized diagrams, product designs, and spatial planning. Now, paired with a 48-meter perimeter, it becomes a practical problem reflecting real-world scale and measurement. The rise of DIY home projects, renovations, and architectural visualization has fueled demand for tools that simplify spatial reasoning. Users searching for “A rectangle has a length that is 3 times its width. If the perimeter is 48 meters, find the area” are often builders, educators, or homeowners seeking confidence in their planning—free from overt sales language, just clear, factual answers. **How to Find the Area Using This Rectangle’s Dimensions**
To solve, begin by letting the width equal *w*—then the length is *3w*. The perimeter of a rectangle is calculated as *P = 2(width + length)*. Substituting, *48 = 2(w + 3w) = 2(4w) = 8w*, so *w = 48 ÷ 8 = 6 meters*. The length is *3w = 18 meters*. Area is *width × length = 6 × 18 = 108 square meters*. This straightforward breakdown makes the solution accessible to visually oriented mobile users who value clarity and accuracy. **Common Questions People Ask About This Rectangle Problem**
*Q: Why use a ratio like 3:1 instead of arbitrary numbers?*
A: Ratios model real-world proportions more naturally—think furniture scaling or material efficiency.