Examples of Perimeter of Quadrilateral

Example 1: A kite-shaped kite has two adjacent sides of 15 meters each and the other two sides of 10 meters each. What is the perimeter of the kite?

Solution:

Given,

• Two adjacent sides of the kite, a = 15 meters
• Other two sides of the kite, b = 10 meters

Formula for Perimeter (P) of a kite is P = 2 × (a + b)

Substitute the given values:

P = 2 × (15 + 10)

Calculate the expression inside the parentheses:

P = 2 × 25

P = 50

So, the perimeter of the kite is 50 meters.

Example 2: A rhombus has diagonals measuring 16 units and 30 units. Calculate the perimeter of the rhombus.

Solution:

Given:

• Length of one diagonal, d₁ = 16 units
• Length of the other diagonal, d₂ = 30 units

In a rhombus, the diagonals bisect each other at right angles. The formula for the side length (s) in terms of the diagonals is

Substitute the given values:

Calculate the expression inside the square root:

Combine the terms inside the square root:

s = 17

The perimeter (P) of a rhombus is given by P = 4s.

Substitute the calculated side length:

P = 4 ×17

P = 68

So, the perimeter of the rhombus is 68 units.

Example 3: A cyclic quadrilateral ABCD has sides of lengths 6, 8, 10, and 12 units. Calculate the perimeter of the cyclic quadrilateral.

Solution:

Given:

• Side lengths of Cyclic Quadrilateral: a = 6, b = 8, c = 10, d = 12

Perimeter (P) of a cyclic quadrilateral is simply the sum of its side lengths: P = a + b + c + d

Substitute the given values:

P = 6 + 8 + 10 + 12

P = 36

So, Perimeter of the cyclic quadrilateral is 36 units.

Example 4: Trapezoid LMNO has bases LM and NO with lengths 15 units and 10 units, respectively. The non-parallel sides have lengths 8 units each. Determine the perimeter of trapezoid LMNO.

Solution:

Given,

• Length of base LM, a = 15 units
• Length of base NO, b = 10 units
• Length of non-parallel sides, c = d = 8 units

Formula for Perimeter (P) of a trapezoid is P = a + b + c + d

Substitute the given values:

P = 15 + 10 + 8 + 8

P = 41

So, the perimeter of trapezoid LMNO is 41 units.

Perimeter of a Quadrilateral is the sum of all the sides of a perimeter. Suppose we are given a quadrilateral ABCD with sides AB, BC, CD, and DA then its perimeter is AB + BC + CD + DA.

In this article, we will learn about the Perimeter of Quadrilateral Definition and Formulas for Perimeter of various Quadrilateral, Examples, and others in detail.