A rectangles length is three times its width, and its perimeter is 48 meters. What are the dimensions of the rectangle? - Coaching Toolbox
How to Calculate the Dimensions of a Rectangle That’s Three Times Wide and Has a 48-Meter Perimeter
How to Calculate the Dimensions of a Rectangle That’s Three Times Wide and Has a 48-Meter Perimeter
You’ve likely stumbled across hints online about a simple geometric puzzle: a rectangle where the length is exactly three times the width, and the total perimeter adds up to 48 meters. It’s more than just a math riddle—understanding this shape opens doors to thinking about space, design, and everyday measurements. Whether you’re tackling home projects, urban planning, or just satisfying curiosity, knowing the exact dimensions unlocks confidence in real-world applications. Here’s how the numbers stack up—without complexity, jargon, or distraction.
Understanding the Context
Why This Rectangle Is Standing Out in Current Conversations
In a digital landscape shaped by data literacy and practical problem-solving, certain geometry problems are gaining quiet traction. This particular rectangle ratio—where length equals three times width—combined with a fixed perimeter—reflects real-life applications like room planning, landscape design, and efficient use of space. With growing interest in smart living and space optimization, simple formulas like this become valuable tools in decision-making. As more people share tips on home economics and architecture, such calculations reflect a broader trend toward informed, mindful living.
The Math: How to Find the Dimensions Step by Step
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Key Insights
Start with what’s known:
- Length = 3 × Width
- Perimeter = 48 meters
The perimeter formula for a rectangle is:
P = 2 × (Length + Width)
Substitute Length with 3 × Width:
48 = 2 × (3W + W)
48 = 2 × (4W)
48 = 8W
Now divide both sides by 8:
W = 6 meters
Since Length = 3 × Width:
Length = 3 × 6 = 18 meters
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So, the rectangle measures 18 meters long and 6 meters wide—perfectly matching the condition that length is three times width, with a precise 48-meter perimeter.
Common Questions About the Rectangle’s Dimensions
Q: How do you know this formula works?
A: It’s built on fundamental geometry—perimeter measures the total distance around the shape, and with proportional lengths like length = 3 × width, algebra naturally leads to the solution.
Q: Could the same principle apply in other ratios?
A: Yes—same method works for any multiple, simply replace the ratio and
