In geometry, a parallelogram is a special type of quadrilateral which has four sides and the pair of opposite sides are parallel. In a parallelogram, the opposite sides are of equal length. In this sub-topic, we will learn the area of parallelograms.

The area of a parallelogram is the space enclosed within its four sides. Area is equal to the product of length and height of the parallelogram.

We can drive the area formula of parallelogram from the formulas of areas or rectangle and triangle.

Theorem 1:

Suppose a and b are the lengths of parallel sides of a parallelogram and h is the corresponding height of the parallelogram, then based on the length of sides and height of it, the formula for its area is given by:

Area = Base × height
A = b × h

Theorem 2:

The area A of a rhombus with a base of length b and with corresponding height of h is given by:
A = b × h