A rectangular garden has a length that is 3 times its width. If the perimeter of the garden is 80 meters, what is the area of the garden?

Sat, 02 May 2026 15:01:38 +0000

**Why Are More People Solving Rectangular Garden Puzzles Like This One?**
Curiosity about garden math isn’t just nostalgic—it’s practical. With rising interest in sustainable living and home design, people are increasingly turning to simple geometry to plan outdoor spaces. A rectangular garden where the length is three times the width—and a total perimeter of 80 meters—sparks immediate questions: how much land do you really need? How big can it be? This puzzle combines real-world math with practical home planning, a trend shaped by DIY enthusiasm and cost-conscious homeowners optimizing small yards. Whether building a vegetable patch or a backyard retreat, understanding perimeter and area helps turn plans into progress. **Why This Garden Shape Is Gaining Attention**
A rectangular garden with a length three times its width is more than a textbook example—it reflects a smart balance between efficiency and usability. For US gardeners focused on maximizing space without overspending, this ratio offers a clear, scalable design. As urban living pushes more people into compact yards, concise, functional layouts become essential. The simplicity of this proportion—common in modern landscaping—fuels digital interest, especially among homeowners, garden enthusiasts, and planners seeking proven, low-risk designs. It’s not just about numbers—it’s about making the most of limited outdoor real estate. **How to Calculate the Area Step by Step**
Start with the perimeter formula: P = 2(length + width). Given the width is *w*, the length is *3w*. So,
P = 2(3w + w) = 2(4w) = 8w.
Set 8w = 80 meters → w = 10 meters.
Then, length = 3 × 10 = 30 meters.
Area = length × width = 30 × 10 = 300 square meters.
This structured breakdown makes the math approachable and repeatable for readers seeking clarity. **Common Questions About Garden Dimensions**
A rectangular garden has a length that is 3 times its width. If the perimeter is 80 meters, what is the area of the garden? Many beginners assume guesswork is needed, but solving it with perimeter and area formulas is straightforward. Others wonder if square roots or complex math are required—nothing could be farther from the truth. There’s no need for creativity in formulas; just follow the perimeter logic, solve step by step, and you’ll arrive accurately every time. This simplicity builds confidence for real-world planning.