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)
Examplecalculation: (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.