We’re glad you found this parallelogram area calculator. Our goal is to make sure you can use it for all of your mathematical needs without having to look up a geometry textbook or find an old TI-83 in your basement.
This online calculator can find the area of a parallelogram given base and height, as well as two sides and the angle between them.
What is a parallelogram?
A parallelogram is a quadrilateral with opposite sides parallel. A parallelogram has two pairs of parallel sides and four angles that are equal in measure. The opposite or facing sides of a parallelogram are of equal length, and the opposite angles of a parallelogram are equal in measure. The diagonals of a parallelogram bisect each other (that means they cross at their midpoint).
It can be classified as either a rectangle, rhombus, or square depending on whether its base is perpendicular to its height or not. If both sides are horizontal then it becomes a rectangle; otherwise, it is known as an oblique rectangle (rhombus). If one side is vertical and the other one horizontal then it becomes an oblique triangle (square).
A rectangle is a parallelogram with 4 right angles. In a rectangle, opposite sides are equal and parallel. Opposite angles of rectangles are equal to each other and consecutive angles of rectangles are supplementary.
The square is also a special rectangle. In a square, all four sides are equal in length and all four angles are equal. The angle between two lines that intersect to form an angle is called the acute angle, while the other two angles are obtuse. The sum of any two acute angles must be 180 degrees; therefore, if you know the measure of one acute angle and one obtuse angle (which means you don’t know how big they are), then you know how big all four sides will be.
A rhombus is a quadrilateral in which all sides have the same length. The opposite angles of a rhombus are of equal measure and are therefore 90 degrees (right angles). A rhombus is also called a square.
Rectangles are one of the most common shapes used in graphics design software and the graphic design itself. Being able to draw or create easily rectangles is a fundamental skill in using software like Illustrator or Photoshop.
Rectangles are used to create graphics and logos, as well as being used as a guide for other shapes such as curves or circles, which can be created using the Rectangle Tool’s settings.
How to find the area of a parallelogram? – Parallelogram area formulas
In geometry, the area of a parallelogram is the product of its base and height.A = b \times h
In this formula, b is the length of the base, while h is the height of the parallelogram.
A parallelogram has two sets of parallel sides, with two pairs of opposite sides being equal in length. The base length is the distance between the two pairs of parallel lines that form the base or bottom line, while the height is measured perpendicular to this line and along one side.
How to use the parallelogram area calculator
The parallelogram area calculator has three different modes, depending on what is given:
- Base and height
- Sides + angle between them
- Diagonals + angle between them
A parallelogram is a quadrilateral with opposite sides parallel.
All rectangles are parallelograms but not all parallelograms are rectangles.
Any pair of consecutive angles are supplementary.