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 the 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. 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).

Rectangles

A rectangle is a parallelogram with 4 right angles. In a rectangle, opposite sides are equal and parallel. All angles of rectangles are equal (90 degrees) 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. As per the Pythagorean theorem, the square of the diagonal of a square is equal to the sum of the squares of two sides. Mathematically:

d^2 = 2 \times a^2

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 diamond.

Rectangles are one of the most common shapes used in graphics design software and the graphic design itself.

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. In a square, the base is equal to the height.

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 sides, 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

FAQ

What is a parallelogram?

A parallelogram is a quadrilateral with opposite sides parallel.

Are all rectangles parallelograms?

All rectangles are parallelograms but not all parallelograms are rectangles.

Are consecutive angles supplementary?

Any pair of consecutive angles are supplementary.