A rectangular field measures 150 meters by 80 meters. If a walking path 2 meters wide is built along the perimeter inside the field, what is the area of the path?

Sat, 02 May 2026 17:10:31 +0000

A rectangular field measures 150 meters by 80 meters. If a walking path 2 meters wide is built along the inside perimeter, what area does the path occupy?
This question often surfaces in discussions about outdoor space optimization, fitness zones, and landscape design—trending among U.S. gardeners, property planners, and wellness-focused communities. As outdoor environments become more intentional, homeowners and designers seek precise calculations to balance aesthetics, function, and cost. Understanding how narrow paths affect usable field area reveals practical insights with real-world applications. Why is a rectangular field measuring 150 meters by 80 meters gaining attention when a 2-meter-wide path is included along the edges? Such layouts appear in parks, athletic fields, and community gardens where space efficiency matters. With growing interest in sustainable land use and accessible outdoor recreation, even small white space losses can influence usability and design perception. This query reflects a broader trend of optimizing land without sacrificing core functionality. To calculate the path’s area, start with basic geometry. The original field spans 150 meters in length and 80 meters in width. A 2-meter-wide path runs inside along all four sides, effectively narrowing the inner usable area by removing 4 meters from each dimension:
- New length: 150 – (2 × 2) = 146 meters
- New width: 80 – (2 × 2) = 76 meters However, the actual path occupies an annular region between the full rectangle and the inner rectangle. To determine its area, use a straightforward formula:
Path area = total field area – remaining inner area
Field area = 150 × 80 = 12,000 square meters
Inner usable area = 146 × 76 = 11,096 square meters
Path area = 12,000 – 11,096 = 904 square meters