A rectangular garden measures 20 meters in length and 15 meters in width. A path of uniform width is to be built inside around the perimeter, reducing the planting area by 210 square meters. What is the width of the path? - Treasure Valley Movers

Is Building a Ground-Defining Path in Your Garden Worth the Investment?
A rectangular garden measuring 20 meters by 15 meters offers a spacious canvas for creativity—and a quiet puzzle for many homeowners: how does a narrow walking trail inside the perimeter impact usable planting space? With growing interest in smart outdoor design, this question reflects a broader trend among U.S. gardeners seeking balance between beauty, utility, and efficiency in limited space. Many are discovering that a unified path can transform both flow and function—without sacrificing the lush greenery they envision.

Why Compact Paths Around Gardens Are Gaining Popularity Across the U.S.
This concept isn’t just a local trend; it’s aligning with nationwide shifts in residential landscaping. In urban and suburban neighborhoods alike, there’s increasing demand for compact, yet expressive outdoor areas where function meets aesthetic harmony. A perennial 20m × 15m garden offers a substantial footprint, but wedging a central pathway inside shifts focus toward intentional plant zones. Trade-offs between walking access and personal planting plots are now being analyzed closely. With 210 square meters lost to path rough estimates, homeowners are seeking precise calculations to maximize usable space while maintaining accessible, beautiful grounds—exactly where this question becomes both practical and widespread.

How Does a Uniform Path Reduce Planting Area by 210 Square Meters?
The garden’s original area totals 20 m × 15 m = 300 square meters. When a uniform path of width x meters is built along the inside perimeter, it cuts into available planting space uniformly on all sides. Each side loses 2x meters in usable length and 2x meters in width, forming a smaller inner rectangle with dimensions:
Length: 20 − 2x
Width: 15 − 2x
The inner planting area = (20 − 2x) × (15 − 2x)
The reduction (original 300 m² minus inner area) = 210 m². Rearranging gives the equation:
300 − [(20 − 2x) × (15 − 2x)] = 210
Solving this equation reveals x ≈ 2.5 meters—the optimal path width that preserves 90 m² for planting while creating smooth, navigable access.

Common Questions About Path Size and Planting Trade-Offs
Why doesn’t a wider path destroy more planting space?
Even small increases in path width shrink planting zones significantly—especially in compact gardens where every square meter