A rectangular garden measures 12 meters by 9 meters. A path of uniform width is built around the garden, increasing the total area to 180 square meters. What is the width of the path? - Treasure Valley Movers
Why a Rectangular Garden with a Surrounding Path Captivates US Gardeners in 2025
Homeowners increasingly blend green spaces with intentional hardscaping, and today’s trending garden design features rectangular plots measuring 12 by 9 meters with uniform paths around them. Each side of the garden invites a welcoming-width walkway, transforming simple outdoor plots into structured, functional retreats. This setup isn’t just aesthetic—it’s a response to growing interest in practical, visually balanced outdoor living, especially as mehrdimensionale green spaces merge beauty with usability.
Why a Rectangular Garden with a Surrounding Path Captivates US Gardeners in 2025
Homeowners increasingly blend green spaces with intentional hardscaping, and today’s trending garden design features rectangular plots measuring 12 by 9 meters with uniform paths around them. Each side of the garden invites a welcoming-width walkway, transforming simple outdoor plots into structured, functional retreats. This setup isn’t just aesthetic—it’s a response to growing interest in practical, visually balanced outdoor living, especially as mehrdimensionale green spaces merge beauty with usability.
This design trend draws attention across the US, where urban dwellers and suburban families seek efficient yet inviting outdoor areas that enhance property value and community engagement. The precise math behind expanding the space to 180 square meters reveals how small width adjustments create meaningful growth—demonstrating both precision and purpose in garden planning.
Understanding the Context
Why the 12 by 9 Garden and Uniform Path Sparks Interest
Combining a 12-meter by 9-meter rectangle with a surrounding path that boosts area to 180 square meters creates a compelling spatial puzzle. The uniform width surrounding the garden increases every side symmetrically, turning a straightforward shape into a functional and attractive landscape feature. Social media discussions, home design forums, and gardening platforms highlight growing curiosity about how to optimize such layouts. Consumers increasingly seek clarity on calculations and dimensions before investing time or money—making this an ideal target for informed, data-driven content.
Breaking Down the Math: How Wide Is the Path?
Let the path width be x meters. With uniform expansion, the outer rectangle’s dimensions become (12 + 2x) by (9 + 2x). Since area equals length times width, the equation simplifies clearly:
(12 + 2x)(9 + 2x) = 180
Key Insights
Expanding:
108 + 54x + 18x + 4x² = 180
4x² + 72x + 108 – 180 = 0
4x² + 72x – 72 = 0
Divide all terms by 4:
x² + 18x – 18 = 0
Applying the quadratic formula:
x = [–18 ± √(324 + 72)] / 2
x = [–18 ± √396] / 2
√396 ≈ 19.9, so:
x ≈ (–
