A rectangular garden is 45 meters long and 30 meters wide. A path of uniform width is built inside the garden around the perimeter, reducing the area available for planting by 360 square meters. What is the width of the path? - Treasure Valley Movers
Why Garden Path Design is Trending in US Landscaping—And How to Optimize It
A rectangular garden measuring 45 meters by 30 meters offers ample space for growing, entertaining, and relaxing. But many residents are reimagining it with a subtle focus on functionality: a uniform interior path cuts into the planting area, reducing usable space by 360 square meters. This design choice reflects a growing desire to balance aesthetics with purpose—especially in urban and suburban spaces where every square foot counts. As housing trends shift toward outdoor living and sustainable living, smart garden planning has become both practical and mobile-first accessible.
Why Garden Path Design is Trending in US Landscaping—And How to Optimize It
A rectangular garden measuring 45 meters by 30 meters offers ample space for growing, entertaining, and relaxing. But many residents are reimagining it with a subtle focus on functionality: a uniform interior path cuts into the planting area, reducing usable space by 360 square meters. This design choice reflects a growing desire to balance aesthetics with purpose—especially in urban and suburban spaces where every square foot counts. As housing trends shift toward outdoor living and sustainable living, smart garden planning has become both practical and mobile-first accessible.
Why This Garden Design Is Gaining Popularity
A straight, rectangular garden—like one measuring 45m by 30m—is a favorite in modern US landscape design. Its symmetry and ease of access make it ideal for paths that guide movement and define zones. Adding a uniform path around the perimeter directly responds to a key need: durable usability. Homeowners seek shared spaces that support both beauty and everyday use—walking paths, tool storage, or even outdoor dining areas—all while preserving prime planting zones. Recent data shows increasing interest in functional outdoor design, driven by urban compactness and a focus on low-maintenance, high-return spaces.
How to Calculate the Uniform Path Width—A Clear, Practical Approach
Start with the full garden area: 45 meters long and 30 meters wide, totaling 1,350 square meters. The path runs along the inside edge, reducing planting space by 360 square meters. That leaves 990 square meters for planting—equal to a rectangle of the same inner dimensions, shrunk inward by the path’s width. Let x be the uniform width of the path. Then the inner planting area forms a rectangle 45 – 2x by 30 – 2x. Setting up the equation:
Understanding the Context
(45 – 2x)(30 – 2x) = 990
Expanding:
1350 – 90x – 60x + 4x² = 990
4x² – 150x + 1350 = 990
4x² – 150x + 360 = 0
Dividing by 2:
2x² – 75x + 180 = 0
This quadratic model enables precise, confident calculation—ideal for readers trusting data-driven choices. Solving using the quadratic formula yields two potential values for x, but only the positive root under 7.5 meters (half the shorter side) is physically reasonable. The accurate solution is approximately 3 meters—delivering substantial path access with only 33 square meters of planting loss.
Key Insights
Common Questions Neutral Readers Want Answered
Why not just make the path wider?
Wider paths increase utility but absorb more planting space—precisely what homeowners aim to reduce.
