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xGeometry

Generic Trapezoid

Longer Base
$$B$$
Shorter Base
$$b$$
Oblique Side
$$S_{1}$$
Oblique Side
$$S_{2}$$
Height
$$h$$
$$2p = B + b + S_{1} + S_{2}$$
Perimeter
$$A = \frac{\left(B + b \right) \times h}{2}$$
Area
$$B + b = \frac{2A}{h}$$
Sum of bases
$$h = \frac{2A}{B + b}$$
Height
$$B + b = 2p - S_{1} - S_{2}$$
Sum of bases

Definition

A trapezoid is a quadrilater with two parallel sides

Properties

  1. A trapezoid is a four sides polygon with two parallel sides
  2. The parallel sides are called bases, while the other two are called oblique sides. In a trapezoid we identify the bases as longer base and shorter base
  3. Generic Trapezoid's formulas are valid for any trapezoids
Generic Trapezoid
Generic Trapezoid Formulas
Data Formula
Perimeter 2p = B + b + S1 + S2
Area A = [(B + b) × h] / 2
Height h = (2 × A) / (B + b)
Sum of bases B + b = (2 × A) / h
Sum of bases B + b = 2p - S1 - S2