Aire du Trapèze
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Trapezoid Area Calculator

Compute the area of any trapezoid (trapezium) instantly using the standard formula A = ½ × (a + b) × h. Complete with dynamic step-by-step calculation, unit conversion, and visual diagram.

Calculated Area (A)
—
Base a (top) Base b (bottom) Height h

How to Calculate the Area of a Trapezoid

A trapezoid (or trapezium in British, Australian, and Indian English) is a 2D quadrilateral with at least one pair of parallel opposite sides, known as bases. The perpendicular distance between these parallel bases is the height ($h$).

The Standard Area Formula

Area = ½ × (a + b) × h = ((a + b) × h) / 2

Where:

  • a = Length of first parallel base
  • b = Length of second parallel base
  • h = Perpendicular height between base a and base b

Step-by-Step Example Calculation

Suppose you have a trapezoid with top base a = 8 cm, bottom base b = 14 cm, and perpendicular height h = 5 cm:

  1. Sum the parallel bases: 8 + 14 = 22 cm
  2. Take the average: 22 ÷ 2 = 11 cm
  3. Multiply by the perpendicular height: 11 × 5 = 55 cm²

The total surface area is 55 square centimeters (cm²).

Suite Complète d'Outils

Calculateurs Spécialisés de Trapèze

Calculez l'aire, le périmètre et les dimensions manquantes pour toute configuration de trapèze.

Foire Aux Questions sur l'Aire du Trapèze

Comment calculer l'aire d'un trapèze ?
Additionnez les deux bases parallèles, multipliez par la hauteur perpendiculaire et divisez par 2 : A = ½(a + b)h.
Quelle est la formule de l'aire d'un trapèze ?
La formule universelle est A = ½ × (a + b) × h.