A rectangular swimming pool is 10 meters longer than it is wide. If the perimeter of the pool is 140 meters, what are the dimensions of the pool? - IQnection
A rectangular swimming pool is 10 meters longer than it is wide. If the perimeter of the pool is 140 meters, what are the dimensions of the pool? This question is emerging in conversations around home design and outdoor living trends, especially as US homeowners increasingly seek functional, spacious pools that balance aesthetics and practicality. The clear mathematical relationship—where one side exceeds the other by a fixed amount—commands real-world attention, especially when tied to precise perimeter measurements.
A rectangular swimming pool is 10 meters longer than it is wide. If the perimeter of the pool is 140 meters, what are the dimensions of the pool? This question is emerging in conversations around home design and outdoor living trends, especially as US homeowners increasingly seek functional, spacious pools that balance aesthetics and practicality. The clear mathematical relationship—where one side exceeds the other by a fixed amount—commands real-world attention, especially when tied to precise perimeter measurements.
To solve for the dimensions, we begin with the formula for the perimeter of a rectangle: P = 2(length + width). Given P = 140 meters, dividing both sides by 2 gives: length + width = 70 meters. Since the length is 10 meters more than the width, we set width = w, so length = w + 10. Substituting into the equation yields w + (w + 10) = 70 → 2w + 10 = 70 → 2w = 60 → w = 30. That makes the length 30 + 10 = 40. Thus, the pool measures 30 meters wide and 40 meters long—providing ample surface area and spatial balance ideal for recreation and relaxation.
Beyond the math, this configuration reflects a common design choice driven by spatial efficiency and comfort. The extended length supports longer swimming lanes or designated zones, while the modest width enhances stability and ease of access. Transparent, data-backed dimensions allow contractors and landscapers to estimate materials, install depths, and plan integration with gardens or patios—critical when navigating US building codes and homeowners’ budget cycles.
Understanding the Context
Curious users searching “A rectangular swimming pool is 10 meters longer than it is wide. If the perimeter of the pool is 140 meters, what are the dimensions of the pool?” benefit from precise yet comprehensible explanations that build understanding without complexity. Clear, step-by-step reasoning fosters longer dwell time, especially on mobile devices where users prefer easy-to-scan content. The predictable solution reinforces trust—showing not only the how, but why such symmetry in design remains popular in residential construction.
Still, questions linger: Is this shape optimal for all sites? How do depth and fixture placement align with these dimensions? For many backyard projects, the 30m × 40m layout strikes a practical balance between usability and elegance, often exceeding aesthetic preferences while meeting functional demands. Precise, accurate dimensions are essential when calculating tile rows, drainage layouts, or solar heating requirements—all common next steps after verifying the pool’s footprint.
Common misunderstandings include assuming irregular pool forms or underestimating site implications. In reality, rectangular pools of this proportion—where one side exceeds the other by 10m—balance ritual space, resale value, and construction logistics. Many homeowners wrongly equate extra length with luxury, yet experts emphasize that real worth lies in thoughtful design integration, not just square footage.
