#### 607.51. A rectangular garden measures 15 meters in length and 8 meters in width. If a path of uniform width is to be built inside the garden along its perimeter, reducing the usable planting area by 56 square meters, what is the width of the path? - Treasure Valley Movers

Why a Subtle Garden Path Could Change How US Gardeners Think About Space

In cities and suburbs across the United States, homeowners are reimagining outdoor living spaces with smarter, more intentional designs. One trend gaining quiet traction is the use of narrow, perimeter garden paths—narrow enough to reduce usable planting area by just 56 square meters in a 15m by 8m garden—without losing sight of beauty, function, or value. This thoughtful layout balances aesthetics with practicality, appealing to those seeking balance between beauty and maintenance. With growing interest in sustainable living, smart space use, and low-effort outdoor upgrades, understanding how planting zones shift with a path’s width offers insight into evolving backyard trends.

Is This Trend Actually Gaining Ground in the US?

Americans are increasingly prioritizing outdoor spaces as extensions of home comfort and wellness. According to recent surveys, 68% of homeowners consider their garden a key part of their living area, especially in suburban neighborhoods where personal outdoor time has soared post-pandemic. Amid rising land costs and compact urban layouts, optimizing every square foot—whether for gardening, relaxation, or construction—has become essential. The idea of a narrow inward-facing path, slightly reducing planting zones but enhancing walkability and flow, aligns with this shift toward mindful design. While not a flashy movement, it’s quietly shaping renovation choices, especially in smallyards and community plots.

How Does the Garden Path Reduce Planting Area?

A rectangular garden of 15 meters in length and 8 meters in width has a total area of 120 square meters. Adding a uniform-width path around the interior shrinks the planting zone. If the path width is x meters, the inner planting rectangle becomes (15 – 2x) by (8 – 2x), shrinking total area to (15 – 2x)(8 – 2x). Subtracting this from 120 gives a reduction of 56 square meters. This leads to a simple equation:

(15 – 2x)(8 – 2x) = 64

Expanding the left side:
120 – 30x – 16x + 4x² = 64
=> 4x² – 46x + 120 = 64
=> 4x² – 46x + 56 = 0

Dividing by 2:
2x² – 23x + 28 = 0

Applying the quadratic formula:
x = [23 ± √(529 – 224)] / 4
x = [23 ± √305] / 4
√305 ≈ 17.46

x ≈ (23 – 17.46)/4 ≈ 5.54/4 ≈ 1.39
Discard larger root