A rectangular garden has a length of 15 meters and a width of 10 meters. A path of uniform width is built around the garden, increasing the total area to 264 square meters. What is the width of the path? - Treasure Valley Movers

Curious Garden Designers Have a Question — What’s the Real Math Behind a Path Around a Garden?

For homeowners and landscaping enthusiasts, the idea of enhancing outdoor space with a paved or gravel path around a rectangular garden is both practical and elegant. A garden measuring 15 meters long by 10 meters wide often serves as the centerpiece of a backyard, but adding a uniform border path isn’t just a style choice—it’s a calculated design move. When that path brings the total area to 264 square meters, the math reveals more than just surface area: it uncovers a precise width that balances beauty, function, and value. Why do trends around garden paths continue to grow? From improving accessibility and seasonal protection to boosting curb appeal, this trend reflects a growing desire for flexible, inviting outdoor living—especially in regions where outdoor space matters for lifestyle and property value. What’s truly fascinating is how careful calculations can turn a simple path into a thoughtful extension of garden design.

Why This Garden Layout Is Trending in the U.S.

The rise of rectangular gardens paired with uniform paths reflects a broader shift toward intentional, functional outdoor design across American homes. In suburban neighborhoods from the Midwest to the coasts, homeowners are redefining front-yard aesthetics and usability. A well-planned path stabilizes the garden boundary, protects soil from heavy foot traffic, and enhances drainage—especially vital during seasonal changes. This approach fits current trends that prioritize durability, low maintenance, and beauty that ages gracefully. Social media and home improvement platforms now highlight step-by-step guides to such designs, making it easy for users to visualize transforming their own spaces. As budget-conscious yet design-savvy audiences seek smarter investments in outdoor living, garden paths emerge not as luxury extras but as strategic enhancements.

How to Calculate the Uniform Path Width Around a 15×10 Meter Garden

To determine the path width, begin with the garden’s fixed dimensions: length 15 m, width 10 m. Let the path’s width be x meters—uniform on all sides. The total garden plus path forms a larger rectangle of (15 + 2x) meters in length and (10 + 2x) meters in width. The total area becomes:
(15 + 2x)(10 + 2x) = 264
Expanding gives: 150 + 30x + 20x + 4x² = 264 → 4x² + 50x + 150 = 264
Simplifying: 4x² + 50x – 114 = 0
Divide by 2: 2x² + 25