Math • Area of a Rectangle Calculator
Area of a Rectangle Calculator
Calculate the area, perimeter, and diagonal of a rectangle from its length and width.
Area (A = l × w)
60.00
Perimeter (P = 2(l+w))
32.00
Diagonal (d = √(l²+w²))
11.66
Be the first person to rate this calculator
AdvertisementIn-Article
Calculation Guide & Reference
Rectangle Area, Perimeter & Diagonal Mathematics
Area of a rectangle calculator computes area, perimeter, and diagonal from length and width, using A = l × w.
Standardized Mathematical Formula
A = l × w | P = 2(l + w) | Diagonal = √(l² + w²)
A rectangle's area is length times width; its perimeter is twice the sum of length and width; its diagonal follows the Pythagorean theorem.
Variables:
l:Length
w:Width
How It Works (Step-by-Step)
- 1Enter the length and width of the rectangle.
- 2View the area, perimeter, and diagonal length simultaneously.
Real-World Numerical Example
A Rectangle 10 by 6
A room measures 10 units by 6 units.
•Area: 10 × 6 = 60 square units.
•Perimeter: 2 × (10 + 6) = 32 units.
•Diagonal: √(10² + 6²) = √136 ≈ 11.66 units.
Result: The rectangle has an area of 60 square units, a perimeter of 32 units, and a diagonal of about 11.66 units.
Calculation Best Practices & Tips
Examine the discriminant (b² - 4ac) before solving quadratics to instantly know if roots are real, distinct, repeated, or complex.
In statistical analysis, always check both the mean and median to identify if data distribution is skewed by outliers.
When calculating percentage changes, ensure you divide by the original starting baseline value: ((New - Old) / Old) * 100.
Frequently Asked Questions (FAQ)
A = length × width — simply multiply the two side lengths.
Use the Pythagorean theorem: diagonal = √(length² + width²), since the diagonal forms the hypotenuse of a right triangle with the two sides.
More in Math
Top Similar Tools (Math)
Tags:
Looking for More Calculators?
Explore more tools in Math (83+ more calculators available)
Browse our complete directory with category filters, formulas, and verified engines.