Diagonal of Rectangle
Calculate the diagonal of a rectangle
Interactive Sandbox
Adjust values in real-time and observe mathematical cause-and-effect
Bilinear Proportionality: Area scales proportionally with both length and width independently.
Variable Mechanics
Roles, constraints & impacts
Length
Length (Longer Dimension)
Width
Width (Shorter Dimension)
At a Glance
Gotchas, units & real-world use
Formula Nature & Mechanics
Bilinear Proportionality: Area scales proportionally with both length and width independently.
Common Mistakes & Traps
- Mixing length units (e.g. length in meters, width in feet or centimeters).
- Confusing Perimeter 2(l + w) with Area (l × w).
- Forgetting that doubling both dimensions increases the area by 4×.
Dimensional Analysis & Units
[Length] × [Length] = [Length]² (Square Units)
Real-World & Industry Application
Flooring tile & carpet estimations, solar panel surface area optimization, architectural blueprints, and screen resolution aspect ratios.
Worked Example: Diagonal of Rectangle
Given:
- l = 3
- w = 4
- d = √(3² + 4²)
- d = √(9 + 16)
- d = √25
- d = 5 units
Answer: 5
Frequently Asked Questions
What is the Diagonal of Rectangle formula?
d = √(l² + w²). Calculate the diagonal of a rectangle.
How do I calculate Diagonal of Rectangle?
Enter Length (l), Width (w) into the calculator. It applies d = √(l² + w²) and shows every step of the working.
Related Geometry Calculators
Partner Spotlight
