Question

what is the perimeter of rombus​

Answer 1

Answer:

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A rhombus is a 2-dimensional (2D) geometrical figure which consists of four equal sides. Rhombus has all sides equal and its opposite angles are equivalent in measurement. Let us now talk about the rhombus formula i.e. area and perimeter of the rhombus.

Answer 2

Answer:

Perimeter of Rhombus

The perimeter of a rhombus is the sum of all its sides. Rhombus is a quadrilateral in which all four sides are of the same measure. A rhombus is always a parallelogram but a parallelogram may not necessarily be a rhombus always. Let us study more about the perimeter of rhombus in this article.

What is the Perimeter of a Rhombus?

The perimeter of a rhombus is the total measure of its boundary and it is calculated by adding the length of all its sides. Since all the four sides of a rhombus are equal, the basic formula to find the perimeter of a rhombus is: Perimeter = 4a; where 'a' is the side of the rhombus. The perimeter of a rhombus is expressed in linear units like inches, yards, centimeters, and so on.

Properties of a Rhombus

There are some basic properties that help us to identify a rhombus. Observe the following rhombus ABCD to relate to its properties given below.

Rhombus

We can identify and distinguish a rhombus with the help of the following properties:

All four sides are equal.

The opposite sides are parallel.

The opposite angles are equal.

The sum of any two adjacent angles is 180o.

The diagonals bisect each other at right angles.

Each diagonal bisects the vertex angles.

Now, let us read about the formulas that are used to find the perimeter of a rhombus in different cases. The formulas differ according to the known dimensions.

Perimeter of Rhombus Formula With Sides

As discussed earlier, the perimeter of a rhombus is the sum of the lengths of all its sides. We know that the sides of a rhombus are of equal lengths. Let us consider a rhombus of side length 'a'. Then, the perimeter of the rhombus is a + a + a + a which is 4a. Thus, the perimeter of the rhombus formula is: P = 4a.

Perimeter of rhombus with sides

Step-by-step explanation: