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Perimeter of Quadrilateral

The perimeter of quadrilateral is the total length of its boundary. A quadrilateral is a four-sided polygon that can be regular or irregular. In a regular quadrilateral, all the sides are equal in length and all the angles are of equal measure, whereas, in an irregular quadrilateral, the sides and angles are not equal. There are 6 specific types of quadrilaterals - Square, rectangle, parallelogram, rhombus, kite, and trapezoid. Let us learn how to find the perimeter of quadrilateral in this page.

What is Perimeter of a Quadrilateral?

The perimeter of a quadrilateral is the length of its boundary, i.e., if we join all the four sides of a quadrilateral to form a single line segment, the length of the resultant line segment is called its perimeter. Thus, the unit of the perimeter of a quadrilateral is the same as that of its side, i.e., it is measured in linear units like meters, inches, centimeters, etc.



Perimeter of Quadrilateral Formula

We know that the perimeter of a quadrilateral can be obtained by adding all its side lengths. This can be expressed by a simple formula. For example, the formula for the perimeter of a quadrilateral ABCD can be expressed as,

Perimeter = AB + BC + CD + DA



Perimeter Formulas of Different Types of Quadrilaterals

We have already seen that there are 6 specific types of quadrilaterals, which are, square, rectangle, parallelogram, rhombus, kite, and trapezoid. Though the perimeter of a quadrilateral is the sum of all its sides, sometimes, all the side lengths might not have been given. In such cases, we need to recollect the properties of quadrilaterals with respect to sides, in order to obtain the side lengths that are not given. For example, if we need to find the perimeter of a square with only one side length given, we need to recollect one of the properties of the square, that all its side lengths are equal. So, if we assume one side of the square to be x, its perimeter will be x + x + x + x = 4x. In the same way, we can derive the perimeter formulas of all of the 6 specific types of quadrilaterals