## Sketch

### Area of a parallelogram

**Formula**: a * ha = A or b * hb = A

**Example calculation:** 5cm * 6cm = ^{30cm2}

### Perimeter of a parallelogram

**Formula**: 2a 2b = U (circumference)

Example**calculation:** (4cm * 2) (3cm * 2) = 12cm

A parallelogram is a special type of quadrilateral in which opposite sides are parallel and of equal length. There are several properties and measurements that can be calculated for a parallelogram, including area, perimeter and the lengths of the diagonals.

1. **area calculation**: The area of a parallelogram is calculated from the product of the base (b) and the corresponding height (h). The formula is: A = b * h. The height is the vertical distance between the bases.

2. **calculating the perimeter**: The perimeter of a parallelogram is simply the sum of all four sides. As the opposite sides of a parallelogram are the same length, the perimeter can also be calculated by doubling the length of the base (b) and the length of the side (a): U = 2*a 2*b.

3. **calculation of diagonals**: The lengths of the diagonals in a parallelogram can be calculated using the Pythagorean theorem and the angles between the diagonals. The formula is: d² = a² b² - 2ab*cos(Θ), where a and b are the side lengths and Θ is the angle between the sides.

These calculations are fundamental to understanding the properties of a parallelogram and are a central part of many problems in geometry and technical applications.