A rectangular garden has a length of 25 meters and a width that is 7 meters shorter than the length. If a 2-meter wide path surrounds the garden, what is the area of the path? - Parker Core Knowledge

Understanding the Context

The garden itself is a standard rectangle, but surrounding it with a consistent 2-meter path transforms the overall space. By expanding both length and width with the path, the full area eating up available land grows significantly. Calculating the path’s area requires comparing the full outer dimensions against the garden-only footprint—turning geometry into a practical tool for home designers and eco-conscious builders.

Breaking Down the Dimensions

Garden length = 25 meters
Garden width = 25 – 7 = 18 meters
Path width = 2 meters on all sides

With the path surrounding uniformly:
Outer length = 25 + 2(2) = 29 meters
Outer width = 18 + 2(2) = 22 meters
Total area (garden + path) = 29 × 22 = 638 square meters

Key Insights

Now estimate the garden’s original area:
25 × 18 = 450 square meters

Path area = Total combined area – Garden area
= 638 – 450 = 188 square meters

This method reveals that each square meter of path requires careful planning to balance aesthetics, maintenance, and budget—key concerns for homeowners landscaping in urban or suburban settings.

Common Queries and Misconceptions

Q: Does the path cover the same width along both length and width?
Yes—uniform paths distribute space equally.
Q: Does the path affect usable planting area?
Only in how much the garden shrinks proportionally—here, planting space still fits within 25×18, but the 2-meter border reduces functional garden room.
Q: Can path width vary by side?
In most real-world layouts, it’s consistent, but minor adjustments exist—though defaults remain predictable and manageable.

Final Thoughts

Where Others Go Wrong: Clarifying the Math

Some assume the path adds to garden dimensions additively instead of expanding both length and width. Others overlook that only the border counts, not a reduced rectangle. Accurate calculation requires visualizing a frame—2 meters beyond each edge—ensuring real-life relevance for budgeting, construction, and sustainable space use.

Real-World Relevance: Trends and Applications

With rising home garden popularity and rising land costs, efficient design is no luxury—it’s practical. The garden-path model is used in backyard renovation planning, community garden layouts, and sustainable landscaping projects across the US. Understanding how surrounds shape usable space supports smarter investment, eco-conscious choice, and problem-solving for modern outdoor living.

Smart Planning for Your Outdoor Space

Knowing how paths alter garden area helps homeowners maximize utility and beauty. Whether expanding a patio, creating a walkway, or planning a vegetable garden, this geometry underpins cost-effective, aesthetically pleasing designs. The math remains straightforward—small calculation yielding big confidence for intelligent outdoor decisions.