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$$2p = B + b + S_{1} + S_{2}$$
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
- A trapezoid is a four sides polygon with two parallel sides
- 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
- Generic Trapezoid's formulas are valid for any trapezoids
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 |