CAT Parallelogram and Area of Parallelogram - Practice Questions & MCQ

Parallelogram: A quadrilateral in which both pairs of opposite sides are parallel is called a parallelogram.

A summary of the properties of a parallelogram is:

• Both pairs of opposite sides are parallel (AB || CD and AD || BC).
• Both pairs of opposite sides are equal in length (AB = CD and AD = BC).
• Both pairs of opposite angles are equal.
• Both diagonals bisect each other (i.e. they cut each other in half).

Area of Parallelogram:

The area of a parallelogram is calculated with the following formula: 

Area = Base × Height

Let a and b are the set of parallel sides of a parallelogram and h is the height, then the formula for its area is given by: 

Area = b × h

Here, ABCD is a parallelogram (AB || CD,  AD || BC, AB = CD = b, and AD = BC = a).  Height of the parallelogram is h.

Area of parallelogram ABCD = Area of triangle ADB + Area of triangle DBC.

AB and DC are the base of the triangle ADB and DBC respectively and height is h. So,