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Math • Trapezoid Area Calculator

Trapezoid Area Calculator

Calculate the area of a trapezoid from its two parallel base lengths and height.

Trapezoid Area
50.00
Formula: Area = ½ × (a + b) × h
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Calculation Guide & Reference

Trapezoid Area Mathematics

Trapezoid area calculator computes the area of a trapezoid from its two parallel base lengths and height.

Standardized Mathematical Formula
Area = (1/2) × (a + b) × h

A trapezoid's area is the average of its two parallel sides (bases) multiplied by the perpendicular height between them — equivalent to averaging the two bases into an "effective width" and multiplying by height, like a rectangle.

Variables:
a, b:The two parallel base lengths
h:The perpendicular height between the two bases
How It Works (Step-by-Step)
  • 1Enter the lengths of both parallel bases (a and b) and the height between them.
  • 2View the trapezoid's area.
Real-World Numerical Example
Bases of 8 and 12, Height of 5

A trapezoid has parallel bases of 8 and 12 units, with a height of 5 units between them.

•Area = (1/2) × (8 + 12) × 5 = (1/2) × 20 × 5 = 50 square units.
Result: The trapezoid's area is 50 square 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)

Area = (1/2) × (base₁ + base₂) × height — average the two parallel bases, then multiply by the perpendicular height between them.

A trapezoid (called a "trapezium" in British English) is a quadrilateral with exactly one pair of parallel sides — the other two sides are not parallel to each other.

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