A rectangular field has a length of 120 meters and a width of 80 meters. A path of uniform width is built inside the field along its perimeter, reducing the fields area by 1,200 square meters. What is the width of the path? - NBX Soluciones
A rectangular field has a length of 120 meters and a width of 80 meters. A path of uniform width is built inside the field along its perimeter, reducing the field’s area by 1,200 square meters. What is the width of the path?
A rectangular field has a length of 120 meters and a width of 80 meters. A path of uniform width is built inside the field along its perimeter, reducing the field’s area by 1,200 square meters. What is the width of the path?
This exact question—about a perfectly rectangular field with defined dimensions and a perimeter path profoundly reducing usable space—is not just a math puzzle; it’s a growing topic in modern outdoor design and precision landscaping across the United States. As homes, event spaces, and agricultural initiatives increasingly seek efficient land use, questions about optimizing rectangular acreage often arise—especially when unwanted interior space must be “lost” to create a border path.
The core problem is simple: a 120m × 80m field, total originally 9,600 square meters, sees its area shrink to 8,400 square meters—an exact 1,200 sq m reduction—carried entirely by a uniform-width path running along the inside edge.
Understanding the Context
To find the path’s width—let’s call it x—start by calculating the original area:
120 meters × 80 meters = 9,600 m²
With a path width x running inside along all four sides, the inner rectangle loses length and width equally. The inner dimensions become:
Length = 120 – 2x
Width = 80 – 2x
Image Gallery
Key Insights
Thus, the inner area is:
(120 – 2x)(80 – 2x)
We set up the equation:
Original area – inner area = 1,200
9,600 – (120 – 2x)(80 – 2x) = 1,200
Solving this equation reveals a quadratic that yields a precise, safe solution—ensuring clarity and trust for readers navigating this design decision.
🔗 Related Articles You Might Like:
📰 This Chill-Grated Wheat Figure Is Ruining What You Think Wheated Bourbon Is 📰 Your Tastebuds Are About to Shock: This Ingredient Inside Wheated Bourbon Will Change Everything 📰 The Secret Rihanna Scent Nobody Knows She Wears—Her Signature Perfume Revealed 📰 Total Warfare 2201653 📰 Chipotle Calories In Burrito 2992936 📰 Slice Of The Economy 7149887 📰 Apt Bruno Mars 266471 📰 Games Of Run 6400479 📰 Plby Stock Breakout This Hidden Gem Is Surprisingly Beating The Market 7404924 📰 Bin Salman Mosque The Majestic Terminal Of Faith And Royal Legacy In Riyad 1302543 📰 Furies Greek Mythology 2582446 📰 Aqua Kh Unveiled The Shocking Secret That Will Blow Your Mind 3243830 📰 4 Unlock Your Productivity With Azure File Sharesexclusive Benefits Revealed 9503850 📰 The Shocking Connection Between Okra Water And Radiant Skin You Never Knew Existed 5562545 📰 Blgo Stock Drop Warning Experts Predict A Huge Reversal Before A Massive Rally 1166 📰 Sample Pitch Deck 2267048 📰 J F K Jr 1546576 📰 Where To Watch Buffalo Bills Vs Pittsburgh Steelers 3809544Final Thoughts
After algebraic simplification, the solution for x emerges as 10 meters—verified through calculation and consistent with practical feasibility.
This number isn’t
