# Properties of Rhombus

There are various geometrical shapes in mathematics such as rectangle, square, circle, and many others. Likewise, a rhombus is a type of quadrilateral with two pairs of parallel sides. The term ‘rhombus’ has been derived from the words of Greek which means something spinning. A rhombus is also termed an equilateral quadrilateral as it has sides of equal length. Like every other shape in geometry, a rhombus also possesses some important properties which distinguish it from other shapes. The following points analyze the property of a rhombus:

- A rhombus is made up of four sides. All four sides are equal and congruent to each other in terms of its length.
- The opposite sides and the opposite angles of the rhombus are parallel to each other.
- The diagonals of a rhombus bisect each other exactly at 90 degrees.
- The adjacent angles sum up to 180 degrees. Adjacent angles are those angles that have both common side and common vertex.
- A rhombus is classified into various other subtypes such as a diamond, a lozenge, and a rhomb.

## What is a Quadrilateral?

Have you ever thought, what is the shape of a picture frame? Let me tell you, a picture frame is considered to be quadrilateral in shape. Quadrilateral can be defined as a shape that is closed and bounded by 4 sides, 4 angles, and 4 vertices. The term ‘Quadrilateral’ has been derived from the words of Greek which means four sides. One unique fact about the shape is that all four sides may not be equal to each other in terms of lengths. A quadrilateral had been classified into various types such as rectangle, rhombus, square, kite, trapezium, and so on. Each angle in quadrilateral measures about 9p degrees. Thus, all the angles result in 360 degrees. We may discuss some significant properties of a quadrilateral in the next section.

## Some Examples Related to the Perimeter of Rhombus

The perimeter of a rhombus can be defined as the total length of the outer boundaries. The mathematical formula to calculate the perimeter of the rhombus is given as, 4 * where ‘a’ is the sides of the rhombus. Let us try to solve some examples related to the perimeter of the rhombus so that you grasp the concept in a better way. Some of the examples are mentioned below:

**Example 1:** Find the perimeter of the rhombus if the length of its sides is 5 cm?

Given that,

Length of the sides of rhombus ‘a’ is = 5 cm

We know that the four sides of a rhombus are equal in terms of length,

Now, using the formula for the perimeter of rhombus = 4 * a

4 * 5 = 20 cm.

Therefore, the perimeter of the rhombus is equivalent to 20 cm.

**Example 2:** Calculate the perimeter of the rhombus if the length of its sides is 6 cm?

Given that,

Length of the sides of rhombus ‘a’ is = 6 cm

We know that the four sides of a rhombus are equal in terms of length,

Now, using the formula for the perimeter of rhombus = 4 * a

4 * 6 = 24 cm.

Therefore, the perimeter of the rhombus is equivalent to 24 cm.

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