Sun, 03 May 2026 13:41:43 +0000

A rectangles length is three times its width. If the perimeter of the rectangle is 48 units, what is the width?
This geometric relationship is quietly gaining attention in US home design and architecture forums, especially as people explore space-efficient layouts and cost-effective construction. With rising home building costs and a focus on functional living spaces, understanding how dimensions like this impact area and budget is more relevant than ever. The perimeter of a rectangle equals twice the sum of its length and width. Given that the length is three times the width, let’s translate this into simple math. If width is *w*, then length is *3w*. The perimeter formula becomes:
**P = 2 × (length + width) = 2 × (3w + w) = 2 × 4w = 8w**
Since the perimeter is 48 units, set the equation:
**8w = 48**
Dividing both sides by 8 gives:
**w = 6**
Width measures 6 units. Why does this simple calculation matter? It’s more than trigonometry—it’s how homeowners and designers translate ideal proportions into real-world dimensions. In mobile-first US searches, users are increasingly curious about how abstract geometry applies to everyday choices: from furniture placement to energy efficiency in new builds. This problem exemplifies how mathematical clarity delivers tangible results without ambiguity. Common queries reflect this interest. Users often ask:
- How does this proportion affect usable floor space? (6 units wide with 18-unit length creates a balanced room ideal for open-concept living or compact offices.)
- Can these dimensions be adjusted without changing the ratio? (Yes—scaling the entire ratio preserves proportions while adapting to area needs.)
- What tools help with accurate measurements? (Digital perimeter calculators and architectural plan apps assist user-friendly design planning.)