A rectangular garden is 15 meters long and 8 meters wide. A path of uniform width is built around the garden, increasing the total area to 208 square meters. What is the width of the path?

Sun, 03 May 2026 18:03:11 +0000

**Why More US Garden Lovers Are Exploring Path-Surrounded Gardens** Ever seen a garden that feels like a crafted landscape—clean lines, deliberate space, and a smooth walking path wrapping around a central 15x8 meter plot? For many homeowners seeking both beauty and function, this setup isn’t just aesthetic—it’s a deliberate design choice growing in popularity across the US. As urban living blends with green space desires, a rectangular garden measuring 15 meters by 8 meters, framed by a uniform walking path, is sparking curiosity about optimal space use. With total area expanding to 208 square meters, users often ask: What’s the exact width of that surrounding path? Solving this combines simple geometry with real-world application—and recent searches confirm rising interest from homeowners, gardeners, and design enthusiasts alike. **How Does Expanding a Garden with a Path Work?** At first glance, the math seems straightforward: the original garden covers 15 × 8 = 120 square meters. With the path around it, the total area becomes 208 square meters. The path adds uniform width—let’s call it *x*—on all sides. That means the new total length is 15 + 2*x* and the total width is 8 + 2*x*. Multiplying these gives the equation:
(15 + 2*x*) × (8 + 2*x*) = 208
This quadratic equation sets the foundation for solving the path’s exact width, blending practical math with the growing trend of thoughtfully designed outdoor living.