### Theory:

**Area of a Rhombus:**

We can calculate the area of the Rhombus using the following methods

**Method 1:**"Base and Height"

- Using the one side to be the base [they are all the same length] and the height of the Rhombus, we can calculate the area.

**Area =**$\mathrm{base}\xb7\mathrm{height}$ = \(b\)\(.\) \(a\) ${\mathit{cm}}^{2}$

Where,

\(b\) is the length of the base

\(b\) is the length of the base

\(a\) is the altitude (height).

Method 2: The "Diagonals"

- We can calculate the area of a rhombus when we know the lengths of the diagonals. The area is half the product of the diagonals.

**Area =**$\frac{\mathrm{d1}\xb7\mathrm{d2}}{2}$ ${\mathit{cm}}^{2}$

Where,

\(d1\) is the length of a diagonal

\(d2\) is the length of the other diagonal

\(d1\) is the length of a diagonal

\(d2\) is the length of the other diagonal

Method 3: Trigonometry method

- We can calculate the area of a rhombus when you know the length of a side and any angle of it.

**Area = ${s}^{2}\xb7\mathrm{sin}a$**

Where,

\(s\) is the length of any side

\(a\) is any interior angle

\(a\) is any interior angle

The Perimeter of the Rhombus:

Like any polygon, the perimeter is the total distance around the rhombus, which can be found by summing the length of each side. In the case of a rhombus, all four sides are the same length by definition, so the perimeter is four times the length of a side.

Perimeter = a+a+a+a = 4a units

Where, \('a'\) is the side lenght of a rhombus.